Professor Bernard Piette's Outputs (128)

Biequivalent Planar Graphs (2024)
Journal Article
Piette, B. (2024). Biequivalent Planar Graphs. Axioms, 13(7), Article 437. https://doi.org/10.3390/axioms13070437

We define biequivalent planar graphs, which are a generalisation of the uniform polyhedron graphs, as planar graphs made out of two families of equivalent nodes. Such graphs are required to identify polyhedral cages with geometries suitable for artif... Read More about Biequivalent Planar Graphs.

An artificial protein cage made from a 12-membered ring (2023)
Journal Article
Stupka, I., Biela, A. P., Piette, B., Kowalczyk, A., Majsterkiewicz, K., Borzęcka-Solarz, K., Naskalska, A., & Heddle, J. G. (2024). An artificial protein cage made from a 12-membered ring. Journal of Materials Chemistry B: Materials for biology and medicine, 12(2), 436-447. https://doi.org/10.1039/d3tb01659e

Artificial protein cages have great potential in diverse fields including as vaccines and drug delivery vehicles. TRAP-cage is an artificial protein cage notable for the way in which the interface between its ring-shaped building blocks can be modifi... Read More about An artificial protein cage made from a 12-membered ring.

The microtubule nucleating factor MACERATOR tethers AUGMIN7 to microtubules and governs phragmoplast architecture. (2023)
Journal Article
Schmidt-Marcec, S., Parish, A., Smertenko, T., Hickey, M., Piette, B. M. A. G., & Smertenko, A. (2024). The microtubule nucleating factor MACERATOR tethers AUGMIN7 to microtubules and governs phragmoplast architecture. The Plant Cell, 36(4), 1072–1097. https://doi.org/10.1093/plcell/koad304

The plant cytokinetic microtubule array, called the phragmoplast, exhibits higher microtubule dynamics in its center (midzone) than at the periphery (distal zone). This behavior is known as the axial asymmetry. Despite being a major characteristic of... Read More about The microtubule nucleating factor MACERATOR tethers AUGMIN7 to microtubules and governs phragmoplast architecture..

Near-Miss Bi-Homogenous Symmetric Polyhedral Cages (2023)
Journal Article
Piette, B., & Lukács, Á. (2023). Near-Miss Bi-Homogenous Symmetric Polyhedral Cages. Symmetry, 15(9), Article 1804. https://doi.org/10.3390/sym15091804

Following the discovery of an artificial protein cage with a paradoxical geometry, we extend the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages, for which all the faces are equivalent, and define bi-homogeneous symme... Read More about Near-Miss Bi-Homogenous Symmetric Polyhedral Cages.

Near-Miss Symmetric Polyhedral Cages (2023)
Journal Article
Piette, B. M. A. G., & Lukács, Á. (2023). Near-Miss Symmetric Polyhedral Cages. Symmetry, 15(3), Article 717. https://doi.org/10.3390/sym15030717

Following the experimental discovery of several nearly symmetric protein cages, we define the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages made out of P-gons. We use group theory to parameterize the possible config... Read More about Near-Miss Symmetric Polyhedral Cages.

Shape-Morphing of an Artificial Protein Cage with Unusual Geometry Induced by a Single Amino Acid Change (2022)
Journal Article
Sharma, M., Biela, A. P., Kowalczyk, A., Borzęcka-Solarz, K., Piette, B. M., Gaweł, S., …Heddle, J. G. (2022). Shape-Morphing of an Artificial Protein Cage with Unusual Geometry Induced by a Single Amino Acid Change. ACS Nanoscience Au, 2(5), 404-413. https://doi.org/10.1021/acsnanoscienceau.2c00019

Artificial protein cages are constructed from multiple protein subunits. The interaction between the subunits, notably the angle formed between them, controls the geometry of the resulting cage. Here, using the artificial protein cage, “TRAP-cage”, w... Read More about Shape-Morphing of an Artificial Protein Cage with Unusual Geometry Induced by a Single Amino Acid Change.

Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages (2022)
Journal Article
Piette, B. M., Kowalczyk, A., & Heddle, J. G. (2022). Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2260), Article 20210679. https://doi.org/10.1098/rspa.2021.0679

Following the discovery of a nearly symmetric protein cage, we introduce the new mathematical concept of a near-miss polyhedral cage (p-cage) as an assembly of nearly regular polygons with holes between them. We then introduce the concept of the conn... Read More about Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages.

Artificial Protein Cage with Unusual Geometry and Regularly Embedded Gold Nanoparticles (2022)
Journal Article
Majsterkiewicz, K., Biela, A. P., Maity, S., Sharma, M., Piette, B. M., Kowalczyk, A., …Heddle, J. G. (2022). Artificial Protein Cage with Unusual Geometry and Regularly Embedded Gold Nanoparticles. Nano Letters, 22(8), 3187-3195. https://doi.org/10.1021/acs.nanolett.1c04222

Artificial protein cages have great potential in a number of areas including cargo capture and delivery and as artificial vaccines. Here, we investigate an artificial protein cage whose assembly is triggered by gold nanoparticles. Using biochemical a... Read More about Artificial Protein Cage with Unusual Geometry and Regularly Embedded Gold Nanoparticles.

A Peptide–Nucleic Acid Replicator Origin for Life (2020)
Journal Article
Piette, B. M., & Heddle, J. G. (2020). A Peptide–Nucleic Acid Replicator Origin for Life. Trends in Ecology and Evolution, 35(5), 397-406. https://doi.org/10.1016/j.tree.2020.01.001

Evolution requires self-replication. But, what was the very first self-replicator directly ancestral to all life? The currently favoured RNA World theory assigns this role to RNA alone but suffers from a number of seemingly intractable problems. Inst... Read More about A Peptide–Nucleic Acid Replicator Origin for Life.

Long-range donor-acceptor electron transport mediated by α helices (2019)
Journal Article
Brizhik, L., Luo, J., Piette, B., & Zakrzewski, W. (2019). Long-range donor-acceptor electron transport mediated by α helices. Physical Review E, 100(6), Article 062205. https://doi.org/10.1103/physreve.100.062205

We study the long-range electron and energy transfer mediated by a polaron on an α-helix polypeptide chain coupled to donor and acceptor molecules at opposite ends of the chain. We show that for specific parameters of the system, an electron initiall... Read More about Long-range donor-acceptor electron transport mediated by α helices.

Hendecagonal Near-miss Polyhedral Cages, (2019)
Book
Heddle, J., Kowalczyk, A., & Piette, B. (2019). Hendecagonal Near-miss Polyhedral Cages,

An ultra-stable gold-coordinated protein cage displaying reversible assembly (2019)
Journal Article
Malay, A. D., Miyazaki, N., Biela, A., Chakraborti, S., Majsterkiewicz, K., Stupka, I., …Heddle, J. G. (2019). An ultra-stable gold-coordinated protein cage displaying reversible assembly. Nature, 569, 438-442. https://doi.org/10.1038/s41586-019-1185-4

Symmetrical protein cages have evolved to fulfil diverse roles in nature, including compartmentalization and cargo delivery1, and have inspired synthetic biologists to create novel protein assemblies via the precise manipulation of protein–protein in... Read More about An ultra-stable gold-coordinated protein cage displaying reversible assembly.

Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses (2018)
Journal Article
Luo, J., & Piette, B. (2018). Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses. Physical Review E, 98(1), Article 012401. https://doi.org/10.1103/physreve.98.012401

We study the propagation of α-helix polarons in a model describing the nonadiabatic interaction between an electron and a lattice of quantum mechanical oscillators at physiological temperature. We show that when excited by a subpicosecond electric pu... Read More about Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses.

Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator (2017)
Journal Article
Banwell, E. F., Piette, B. M., Taormina, A., & Heddle, J. G. (2018). Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator. Molecular Biology and Evolution, 35(2), 404-416. https://doi.org/10.1093/molbev/msx292

Even the simplest organisms are too complex to have spontaneously arisen fully-formed, yet precursors to first life must have emerged ab initio from their environment. A watershed event was the appearance of the first entity capable of evolution: the... Read More about Reciprocal Nucleopeptides as the Ancestral Darwinian Self-Replicator.

A generalised Davydov-Scott model for polarons in linear peptide chains (2017)
Journal Article
Luo, J., & Piette, B. (2017). A generalised Davydov-Scott model for polarons in linear peptide chains. The European Physical Journal B, 90(8), Article 155. https://doi.org/10.1140/epjb/e2017-80209-2

We present a one-parameter family of mathematical models describing the dynamics of polarons in periodic structures, such as linear polypeptides, which, by tuning the model parameter, can be reduced to the Davydov or the Scott model. We describe the... Read More about A generalised Davydov-Scott model for polarons in linear peptide chains.

Donor-acceptor electron transport mediated by solitons (2014)
Journal Article
Brizhik, L., Piette, B., & Zakrzewski, W. (2014). Donor-acceptor electron transport mediated by solitons. Physical review E: Statistical, nonlinear, and soft matter physics, 90(5), Article 052915. https://doi.org/10.1103/physreve.90.052915

We study the long-range electron and energy transfer mediated by solitons in a quasi-one-dimensional molecular chain (conjugated polymer, alpha-helical macromolecule, etc.) weakly bound to a donor and an acceptor. We show that for certain sets of par... Read More about Donor-acceptor electron transport mediated by solitons.

Thermal enhancement and stochastic resonance of polaron ratchet (2014)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2014). Thermal enhancement and stochastic resonance of polaron ratchet. Physical review E: Statistical, nonlinear, and soft matter physics, 89(6), Article 062905. https://doi.org/10.1103/physreve.89.062905

We study the ratchet drift of large polarons (solitons) in molecular diatomic chains induced by unbiased time periodic electric fields at nonzero temperature below its critical value. We show that, at a nonzero temperature, the critical value of the... Read More about Thermal enhancement and stochastic resonance of polaron ratchet.

Spontaneous polaron transport in biopolymers (2012)
Journal Article
Chakrabarti, B., Piette, B., & Zakrzewski, W. (2012). Spontaneous polaron transport in biopolymers. European Physical Society Letters, 97(4), Article 47005. https://doi.org/10.1209/0295-5075/97/47005

Phase transition and anisotropic deformations of neutron star matter (2012)
Journal Article
Nelmes, S., & Piette, B. (2012). Phase transition and anisotropic deformations of neutron star matter. Physical Review D, 85(12), Article 123004. https://doi.org/10.1103/physrevd.85.123004

The Skyrme model is a low energy, effective field theory for QCD that when coupled to a gravitational field provides an ideal semiclassical model to describe neutron stars. We use the Skyrme crystal solution composed of a lattice of α-like particles... Read More about Phase transition and anisotropic deformations of neutron star matter.

Biopolymer hairpin loops sustained by polarons (2012)
Journal Article
Chakrabarti, B., Piette, B., & Zakrzewski, W. (2012). Biopolymer hairpin loops sustained by polarons. Physical review E: Statistical, nonlinear, and soft matter physics, 86(2), Article 021910. https://doi.org/10.1103/physreve.86.021910

We show that polarons can sustain looplike configurations in flexible biopolymers and that the size of the loops depend on both the flexural rigidity of the polymer and the electron-phonon coupling constant. In particular we show that for single stra... Read More about Biopolymer hairpin loops sustained by polarons.

The Origin of Phragmoplast Asymmetry (2011)
Journal Article
Smertenko, A. P., Piette, B., & Hussey, P. J. (2011). The Origin of Phragmoplast Asymmetry. Current Biology, 21(22), 1924-1930. https://doi.org/10.1016/j.cub.2011.10.012

Skyrmion stars and the multilayered rational map ansatz (2011)
Journal Article
Nelmes, S., & Piette, B. (2011). Skyrmion stars and the multilayered rational map ansatz. Physical Review D, 84(8), Article 085017. https://doi.org/10.1103/physrevd.84.085017

We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars and construct low energy configurations that resemble neutron stars. Previous studies have shown that gravitating Skyrmions produced by us... Read More about Skyrmion stars and the multilayered rational map ansatz.

A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth (2010)
Journal Article
Liu, J., Piette, B., Deeks, M., Franklin-Tong, V., & Hussey, P. (2010). A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth. PLoS ONE, 5(10), Article e13157. https://doi.org/10.1371/journal.pone.0013157

Sexual reproduction in higher plants relies upon the polarised growth of pollen tubes. The growth-site at the pollen tube tip responds to signalling processes to successfully steer the tube to an ovule. Essential features of pollen tube growth are po... Read More about A Compartmental Model Analysis of Integrative and Self-Regulatory Ion Dynamics in Pollen Tube Growth.

Ratchet dynamics of large polarons in asymmetric diatomic molecular chains (2010)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2010). Ratchet dynamics of large polarons in asymmetric diatomic molecular chains. Journal of Physics: Condensed Matter, 22(15), Article 155105. https://doi.org/10.1088/0953-8984/22/15/155105

We study the dynamics of large polarons in diatomic molecular chains, at zero temperature, under the influence of an external, periodic in time, electric field of zero mean value. We show that in asymmetric chains, i.e. chains with two different atom... Read More about Ratchet dynamics of large polarons in asymmetric diatomic molecular chains.

A Thermodynamic Model of Microtubule Assembly and Disassembly (2009)
Journal Article
Piette, B., Liu, J., Peeters, K., Smertenko, A., Hawkins, T., Deeks, M., …Hussey, P. (2009). A Thermodynamic Model of Microtubule Assembly and Disassembly. PLoS ONE, 4(8), Article e6378. https://doi.org/10.1371/journal.pone.0006378

Microtubules are self-assembling polymers whose dynamics are essential for the normal function of cellular processes including chromosome separation and cytokinesis. Therefore understanding what factors effect microtubule growth is fundamental to our... Read More about A Thermodynamic Model of Microtubule Assembly and Disassembly.

Scattering of sine-Gordon Breathers on a Potential Well (2009)
Journal Article
Piette, B., & Zakrzewski, W. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical review E: Statistical, nonlinear, and soft matter physics, 79(4), Article 046603. https://doi.org/10.1103/physreve.79.046603

We analyze the scattering of the classical sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the d... Read More about Scattering of sine-Gordon Breathers on a Potential Well.

Wobbles and other kink-breather solutions of the Sine Gordon model (2008)
Journal Article
Ferreira, L., Piette, B., & Zakrzewski, W. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical review E: Statistical, nonlinear, and soft matter physics, 77, https://doi.org/10.1103/physreve.77.036613

We study various solutions of the sine-Gordon model in (1+1) dimensions. We use the Hirota method to construct some of them and then show that the wobble, discussed in detail in a recent paper by Kälberman, is one of such solutions. We concentrate ou... Read More about Wobbles and other kink-breather solutions of the Sine Gordon model.

Skyrme Model with Different Mass Terms (2008)
Journal Article
Piette, B., & Zakrzewski, W. (2008). Skyrme Model with Different Mass Terms. Physical Review D, 77, https://doi.org/10.1103/physrevd.77.074009

We consider a one parameter family of mass terms for the Skyrme model that disfavors shell-like configurations for multibaryon classical solutions. We argue that a model with such mass terms can provide a better description of nuclei as shell-like co... Read More about Skyrme Model with Different Mass Terms.

Ratchet behaviour of polarons in molecular chains (2008)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2008). Ratchet behaviour of polarons in molecular chains. Journal of Physics: Condensed Matter, 20(25), https://doi.org/10.1088/0953-8984/20/25/255242

We study the ratchet behaviour of polarons in diatomic molecular chains under the influence of an external electromagnetic field which is periodic in time. We show that in asymmetric chains a harmonic unbiased field causes a drift of polarons. This p... Read More about Ratchet behaviour of polarons in molecular chains.

Skyrmion Vibration Modes within the Rational Map Ansatz (2008)
Journal Article
Lin, W., & Piette, B. (2008). Skyrmion Vibration Modes within the Rational Map Ansatz. Physical Review D, 77(12), Article 125028. https://doi.org/10.1103/physrevd.77.125028

We study the vibration modes of the Skyrme model within the rational map ansatz. We show that the vibrations of the radial profiles and the rational maps are decoupled and we consider explicitly the cases B=1, B=2, and B=4. We then compare our result... Read More about Skyrmion Vibration Modes within the Rational Map Ansatz.

Adiabatic self-trapped states in carbon nanotubes (2007)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2007). Adiabatic self-trapped states in carbon nanotubes. Journal of Physics: Condensed Matter, 19(30), https://doi.org/10.1088/0953-8984/19/30/306205

We study the polaron (soliton) states of a quasiparticle (electron, hole, exciton) in a quasi-one-dimensional (quasi-1D) model which describes a carbon-type zigzag nanotube structure. In the Hamiltonian of the system we include the electron–phonon in... Read More about Adiabatic self-trapped states in carbon nanotubes.

Scattering of Sine-Gordon kinks on potential wells (2007)
Journal Article
Piette, B., & Zakrzewski, W. (2007). Scattering of Sine-Gordon kinks on potential wells. Journal of Physics A: Mathematical and Theoretical, 40(22), 5995-6010. https://doi.org/10.1088/1751-8113/40/22/016

We study the scattering properties of sine-Gordon kinks on obstructions in the form of finite size potential 'wells'. We model this by making the coefficient of the cos(phiv) − 1 term in the Lagrangian position dependent. We show that when the kinks... Read More about Scattering of Sine-Gordon kinks on potential wells.

Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model (2007)
Journal Article
Piette, B., & Probert, G. (2007). Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model. Physical Review D, 75, https://doi.org/10.1103/physrevd.75.125023

We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars. Gravitating hedgehog skyrmions have been investigated previously and the existence of stable solitonic stars excluded due to energy consi... Read More about Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model.

Self-trapped electron states in carbon nanotubes (2007)
Journal Article
Bratek, L., Brizhik, L., Eremko, A., Piette, B., Watson, M., & Zakrzewski, W. (2007). Self-trapped electron states in carbon nanotubes. Physica D: Nonlinear Phenomena, 228(2), 130-139. https://doi.org/10.1016/j.physd.2007.02.013

We study numerically self-trapped (polaron) states of quasiparticles (electrons or holes) in a deformable nanotube formed by a hexagonal lattice, wrapped into a cylinder (carbon- and boron nitride-type nanotube structures). We present a Hamiltonian f... Read More about Self-trapped electron states in carbon nanotubes.

Dynamical properties of a Soliton in a Potential Well (2007)
Journal Article
Piette, B., & Zakrzewski, W. (2007). Dynamical properties of a Soliton in a Potential Well. Journal of Physics A: Mathematical and Theoretical, 40(2), 329-346. https://doi.org/10.1088/1751-8113/40/2/011

We analyse the scattering of a two-dimensional soliton on a potential well. We show that this soliton can pass through the well, bounce back or become trapped and we study the dependence of the critical velocity on the width and the depth of the well... Read More about Dynamical properties of a Soliton in a Potential Well.

Electron self-trapping on a nano-circle. (2006)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Electron self-trapping on a nano-circle. Physica D: Nonlinear Phenomena, 218(1), 36-55. https://doi.org/10.1016/j.physd.2006.04.010

We study the self-trapping of quasiparticles (electrons, holes or excitons) in a molecular chain with the structure of a ring, taking into account the electron–phonon interaction and the radial and tangential deformations of the chain. A discrete sys... Read More about Electron self-trapping on a nano-circle..

Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure (2006)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure. Chemical Physics, 324(1), 259-266. https://doi.org/10.1016/j.chemphys.2006.01.033

We study the nonlinear mechanism of the energy and charge transfer in low-dimensional nanosystems with helical structure. We show that the helical symmetry is important for the formation, stability and dynamical properties of the soliton-like self-tr... Read More about Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure.

Mass terms in the Skyrme Model (2006)
Journal Article
Kopeliovich, B., Piette, B., & Zakrzewski, W. (2006). Mass terms in the Skyrme Model. Physical Review D, Particles and fields, 73(1), https://doi.org/10.1103/physrevd.73.014006

We consider various forms of the mass term that can be used in the Skyrme model and their implications on the properties of baryonic states. It is shown that modifications of the mass term, without changing the asymptotic behavior of the profile func... Read More about Mass terms in the Skyrme Model.

Scattering of Topological Solitons on Holes and Barriers (2005)
Journal Article
Piette, B., Zakrzewski, W., & Brand, J. (2005). Scattering of Topological Solitons on Holes and Barriers. Journal of Physics A: Mathematical and General, 38(38), 10403-10412. https://doi.org/10.1088/0305-4470/38/48/011

We study the scattering properties of topological solitons on obstructions in the form of holes and barriers. We use the 'new baby Skyrme' model in (2 + 1) dimensions and we model the obstructions by making the coefficient of the baby Skyrme model po... Read More about Scattering of Topological Solitons on Holes and Barriers.

Planar Skyrmions: vibrational modes and dynamics (2005)
Journal Article
Piette, B., & Ward, R. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena, 201(1-2), 45-55. https://doi.org/10.1016/j.physd.2004.12.001

We study Skyrmion dynamics in a (2+1)-dimensional Skyrme model. The system contains a dimensionless parameter α, with α=0 corresponding to the O(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter—this depends o... Read More about Planar Skyrmions: vibrational modes and dynamics.

Solitons in alpha-helical proteins (2004)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2004). Solitons in alpha-helical proteins. Physical review E: Statistical, nonlinear, and soft matter physics, E(70), https://doi.org/10.1103/physreve.70.031914

Spontaneous Localization of Electrons in Lattices with Non-Local Interactions. (2003)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Spontaneous Localization of Electrons in Lattices with Non-Local Interactions. Physical review B, B(68),

Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation. (2003)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation. Journal of Mathematical Physics, 44, 3689-3697. https://doi.org/10.1063/1.1592873

Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation (2003)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2003). Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation. Nonlinearity, 16(4), 1481-1497. https://doi.org/10.1088/0951-7715/16/4/317

We study static solutions of a D-dimensional modified nonlinear Schrödinger equation (MNLSE) which was shown to describe, in two dimensions, the self-trapped (spontaneously localized) electron states in a discrete isotropic electron–phonon lattice [1... Read More about Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation.

Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study. (2002)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2002). Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study. Ukrainian Journal of Physics, 47(9), 890-897

Electron Self-Trapping in Discrete Two-Dimensional Lattices (2001)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2001). Electron Self-Trapping in Discrete Two-Dimensional Lattices. Physica D: Nonlinear Phenomena, D(159), 71-90

Spherically symmetric solutions of the 6th order SU(N) Skyrme models (2001)
Journal Article
Floratos, I., & Piette, B. (2001). Spherically symmetric solutions of the 6th order SU(N) Skyrme models. Journal of Mathematical Physics, 42(12), 5580-5595. https://doi.org/10.1063/1.1415742

Following the construction described by Ioannidou et al. [J. Math. Phys. 40, 6353 (1999)], we use the rational map ansatz to construct analytically some topologically nontrivial solutions of the generalized SU(3) Skyrme model defined by adding a sixt... Read More about Spherically symmetric solutions of the 6th order SU(N) Skyrme models.

Gravitating monopoloes in SU(3) gauge theory (2001)
Journal Article
Brihaye, Y., & Piette, B. (2001). Gravitating monopoloes in SU(3) gauge theory. Physical Review D, D(64),

Solitonic Electron States in a Discrete Two-Dimensional Lattice (2001)
Journal Article
Brizhik, L., Eremko, A., & Piette, B. (2001). Solitonic Electron States in a Discrete Two-Dimensional Lattice. Physica D: Nonlinear Phenomena, 2802, 1-20

Spontaneously Localized Electron States in a Discrete Anisotropic Two-Dimensional Lattice (2001)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2001). Spontaneously Localized Electron States in a Discrete Anisotropic Two-Dimensional Lattice. Physica D: Nonlinear Phenomena, D(159), 71-90

Multi-Skyrmion Solutions for the 6th order Skyrme Model (2001)
Journal Article
Floratos, I., & Piette, B. (2001). Multi-Skyrmion Solutions for the 6th order Skyrme Model. Physical Review D, D(64),

Skyrmions and Rational Maps (2001)
Journal Article
Ioannidou, T., Piette, B., Sutcliffe, P., & Zakrzewski, W. (2001). Skyrmions and Rational Maps. Nonlinearity, Article C1. https://doi.org/10.1088/0951-7715/14/1/101

Electron Self-Trapping in Anisotropic Two Dimensional Lattices (2001)
Journal Article
Brizhik, L., Piette, B., & Zakrzewski, W. (2001). Electron Self-Trapping in Anisotropic Two Dimensional Lattices. Ukrainian Journal of Physics, 46(4), 503-511

Instantons in 4-dimensional gauged O(5) Skyrme models (2001)
Journal Article
Brihaye, Y., Paturyan, V., Piette, B., & Tchrakian, D. (2001). Instantons in 4-dimensional gauged O(5) Skyrme models. Journal of Mathematical Physics, 42, 4669-4683. https://doi.org/10.1063/1.1396636

Interaction of Skyrmions with domain walls (2000)
Journal Article
Kudryavtsev, A., Piette, B., & Zakrzewski, W. (2000). Interaction of Skyrmions with domain walls. Physical Review D, D( 61),

Static Solutions in the U(1) Gauged Skyrme Model (2000)
Journal Article
Piette, B., & Tchrakian, D. (2000). Static Solutions in the U(1) Gauged Skyrme Model. Physical Review D, D(62),

Spherically Symmetric Solutions of the SU(N) Skyrme Models, (1999)
Journal Article
Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). Spherically Symmetric Solutions of the SU(N) Skyrme Models,. Journal of Mathematical Physics, 40, 6223-6233

SU(N) Skyrmions and Harmonic Maps, (1999)
Journal Article
Ioannidou, T., Piette, B., & Zakrzewski, W. (1999). SU(N) Skyrmions and Harmonic Maps,. Journal of Mathematical Physics, 40(12), 6353-6365. https://doi.org/10.1063/1.533097

Mesons, baryons and waves in the baby skyrmion model, (1998)
Journal Article
Piette, B., Kudryavtsev, A., & Zakrzewski, W. (1998). Mesons, baryons and waves in the baby skyrmion model,. The European Physical Journal C, C(1), 333-341

Localized solutions in a 2 dimensional landau-lifshitz model, (1998)
Journal Article
Piette, B., & Zakrzewski, W. (1998). Localized solutions in a 2 dimensional landau-lifshitz model,. Physica D: Nonlinear Phenomena, D(119), 314-326

Solitons of a general gauged S^2 model with a mass term, (1998)
Journal Article
Piette, B., Bogolubsky, I., & Zakrzewski, W. (1998). Solitons of a general gauged S^2 model with a mass term,. Physics Letters B, B(432), 151-158. https://doi.org/10.1016/s0370-2693%2898%2900646-7

Skyrmions and domain walls in (2+1) dimensions, (1998)
Journal Article
Piette, B., Kudryavtsev, A., & Zakrzewski, W. (1998). Skyrmions and domain walls in (2+1) dimensions,. Nonlinearity, 11(4), 783-795. https://doi.org/10.1088/0951-7715/11/4/002

Metastable stationary solutions of the radial d dimensional sine-Gordon model, (1998)
Journal Article
Piette, B., & Zakrzewski, W. (1998). Metastable stationary solutions of the radial d dimensional sine-Gordon model,. Nonlinearity, 11(4), 1103-1110. https://doi.org/10.1088/0951-7715/11/4/020

Numerical integration of (2+1) dimensional PDEs for valued functions (1998)
Journal Article
Piette, B., & Zakrzewski, W. (1998). Numerical integration of (2+1) dimensional PDEs for valued functions. Journal of Computational Physics, 145(1), 359-381. https://doi.org/10.1006/jcph.1998.6013

On the integrability of pure skyrme models in 2 dimensions (1997)
Journal Article
Leznov, A., Piette, B., & Zakrzewski, W. (1997). On the integrability of pure skyrme models in 2 dimensions. Journal of Mathematical Physics, 38(38), 3007-3011. https://doi.org/10.1063/1.532029

Skyrme-Maxwell Solitons in 2+1 Dimensions (1996)
Journal Article
Piette, B., Gladikowski, J., & Schroers, B. (1996). Skyrme-Maxwell Solitons in 2+1 Dimensions. Physical Review D, Particles and fields, D(53), 844-851

Shrinking of Solitons in the 2+1 Dimensional S2 Sigma Model (1996)
Journal Article
Piette, B., & Zakrzewski, W. (1996). Shrinking of Solitons in the 2+1 Dimensional S2 Sigma Model. Nonlinearity, 9, 897-910. https://doi.org/10.1088/0951-7715/9/4/005

Dynamics of Baby Skyrmions (1995)
Journal Article
Piette, B., Schroers, B., & Zakrzewski, W. (1995). Dynamics of Baby Skyrmions. Nuclear Physics B, B(439), 205-238. https://doi.org/10.1016/0550-3213%2895%2900011-g

Multisolitons in a two-dimensional Skyrme Model (1995)
Journal Article
Piette, B., Schroers, B., & Zakrzewski, W. (1995). Multisolitons in a two-dimensional Skyrme Model. Zeitschrift für Physik. C, Particles and fields, C(65), 165-174

Skyrmion Dynamics in (2+1) dimensions (1995)
Journal Article
Piette, B., & Zakrzewski:, W. (1995). Skyrmion Dynamics in (2+1) dimensions. Chaos, Solitons and Fractals, 5(12), 2495-2508. https://doi.org/10.1016/0960-0779%2894%29e0111-2

A modified Mottola-Wipf model with sphaleron and instanton fields (1994)
Journal Article
Muller-Kirsten, H., Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). A modified Mottola-Wipf model with sphaleron and instanton fields. Physics Letters B, B(320), 294-298

Chern-Simons solitons in a CP1 model (1994)
Journal Article
Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). Chern-Simons solitons in a CP1 model. Physics Letters B, B(339), 95-100

Chern-Simons solitons in a model (1994)
Journal Article
Piette, B., Tchrakian, D., & Zakrzewski, W. (1994). Chern-Simons solitons in a model. Physics Letters B, B339, 95-100. https://doi.org/10.1016/0370-2693%2894%2991139-8

Some aspects of scattering of skyrmions in (2+1) dimensions (1994)
Journal Article
Piette, B., & Zakrzewski, W. (1994). Some aspects of scattering of skyrmions in (2+1) dimensions. Nonlinearity, 7(1), 231-244. https://doi.org/10.1088/0951-7715/7/1/010

We determine, numerically, a static solution of the skyrme model in (2+1) dimensions which corresponds to two static skyrmions located 'on top of each other'. Then we consider the scattering of skyrmions and we demonstrate that during this scattering... Read More about Some aspects of scattering of skyrmions in (2+1) dimensions.

$\pi$/N Scattering in (2+1) Dimensions (1993)
Journal Article
Kudryavtsev, A., Piette, B., & Zakrzewski, W. (1993). $\pi$/N Scattering in (2+1) Dimensions. Physics Letters A, A( 180), 119-123

Soliton like behaviour in a modified Sine-Gordon model (1993)
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (1993). Soliton like behaviour in a modified Sine-Gordon model. Physica D: Nonlinear Phenomena, D( 64), 355-364

Skyrmion Model in (2+1) Dimensions with Soliton Bound States (1993)
Journal Article
Piette, B., & Zakrzewski, W. (1993). Skyrmion Model in (2+1) Dimensions with Soliton Bound States. Nuclear Physics B, B(393), 65-78. https://doi.org/10.1016/0550-3213%2893%2990237-j

Soliton-Soliton and Wave-Soliton Collisions in Skyrme-like $\sigma$ Models (1993)
Journal Article
Kudryavtsev, A., Piette, B., & Zakrzewski, W. (1993). Soliton-Soliton and Wave-Soliton Collisions in Skyrme-like $\sigma$ Models. Zeitschrift für Physik. C, Particles and fields, C( 60), 731-737

Soliton scattering in the CP² model (1993)
Journal Article
Piette, B., Rashid, M., & Zakrzewski, W. (1993). Soliton scattering in the CP² model. Nonlinearity, 1077-1090

Image Analysis with Two-dimensional Continuous Wavelet Transform (1993)
Journal Article
Antoine, J.-P., Carrete, P., Murenzi, R., & Piette, B. (1993). Image Analysis with Two-dimensional Continuous Wavelet Transform. Signal Processing, 241-272. https://doi.org/10.1016/0165-1684%2893%2990085-O

A class of two dimensional models with extended structure solutions. (1992)
Journal Article
Piette, B., Tchrakian, D., & Zakrzewski, W. (1992). A class of two dimensional models with extended structure solutions. Zeitschrift für Physik. C, Particles and fields, 54(3), 497-502. https://doi.org/10.1007/bf01559470

A class of N dimensional models with extended structure solutions (1992)
Journal Article
Chakrabarti, A., Piette, B., Tchrakian, D., & Zakrzewski, W. (1992). A class of N dimensional models with extended structure solutions. Zeitschrift für Physik. C, Particles and fields, C( 56), 461-467

Solitons - Antisolitons Scattering in (2+1) Dimensions (1992)
Journal Article
Piette, B., Sutcliffe, P., & Zakrzewski, W. (1992). Solitons - Antisolitons Scattering in (2+1) Dimensions. International Journal of Modern Physics C, C( 3), 637-660

Models with Solitons in (2+1) Dimensions (1992)
Journal Article
Izquierdo, J., Piette, B., Rashid, M., & Zakrzewski, W. (1992). Models with Solitons in (2+1) Dimensions. Zeitschrift für Physik. C, Particles and fields, C( 53),

Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case (1992)
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case. Nonlinearity, 5(2), 563-583. https://doi.org/10.1088/0951-7715/5/2/012

Soliton Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems (1992)
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (1992). Soliton Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems. Nonlinearity, 5(2), 585-600. https://doi.org/10.1088/0951-7715/5/2/013

Finite energy solutons for (1+1)‐dimensional σ models. (1989)
Journal Article
Piette, B., & Zakrzewski, W. (1989). Finite energy solutons for (1+1)‐dimensional σ models. Journal of Mathematical Physics, 31, 916-923. https://doi.org/10.1063/1.528772

Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions (1989)
Journal Article
Piette, B., & Zakrzewski, W. (1989). Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions. Journal of Mathematical Physics, 30, 2233-2237. https://doi.org/10.1063/1.528548

Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term. Zeitschrift für Physik. C, Particles and fields, C( 44),

General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990594-9

Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds (1988)
Journal Article
Antoine, J., & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. Journal of Mathematical Physics, 29(7), 1687-1697. https://doi.org/10.1063/1.527917

Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990595-0

Explicit Solutions of Grassmannian $\sigma$ Models (1988)
Journal Article
Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics, 29, 2190-2196. https://doi.org/10.1063/1.528147

On stability of solutions of theU(N) chiral model in two dimensions. (1988)
Journal Article
Piette, B., Stokoe, I., & Zakrzewski, W. (1988). On stability of solutions of theU(N) chiral model in two dimensions. Zeitschrift für Physik. C, Particles and fields, 37(3), 449-455. https://doi.org/10.1007/bf01578140

Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term. Zeitschrift für Physik. C, Particles and fields, 39(3), 359-364. https://doi.org/10.1007/bf01548285

Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. (1988)
Journal Article
Lambert, D., & Piette, B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Classical and Quantum Gravity, 5(2), 307-319. https://doi.org/10.1088/0264-9381/5/2/010

The authors define two-dimensional Minkowskian sigma models valued in hyperbolic complex Grassmann manifolds. They construct a different kind of solution using hyperbolic analytic functions. They exhibit graphs of a few explicit solutions.

Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type (1987)
Journal Article
Antoine, J., & Piette, B. (1987). Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type. Journal of Mathematical Physics, 28, 2753-2762. https://doi.org/10.1063/1.527723

Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians. (1987)
Journal Article
Piette, B., & Vinet, L. (1987). Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians. Physics Letters A, A(125), 380-384. https://doi.org/10.1016/0375-9601%2887%2990165-4

Davydov's solitons in zigzag carbon nanotubes
Presentation / Conference Contribution
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2009, December). Davydov's solitons in zigzag carbon nanotubes. Presented at Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins

Nonlinear mechanism of charge transport in low-dimensional nanosystems is considered, based on the account of the electron–phonon interaction that arises from the deformation dependencies of the on-site and the hopping interaction energies at interme... Read More about Davydov's solitons in zigzag carbon nanotubes.

Some Properties of Solitons
Presentation / Conference Contribution
Brizhik, L., Eremko, A., Ferreira, L., Piette, B., & Zakrzewski, W. (2009, December). Some Properties of Solitons. Presented at SelfOrganization of Molecular Systems: NATO Advanced Research Workshop on Molecular Self-Organization, Kiev

We present a general review of some aspects of the dynamics of topological solitons in 1 and 2 dimensions. We discuss some recent work on the scattering of solitons on potential obstructions and in the presence of some external fields.

Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems.
Presentation / Conference Contribution
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2010, January). Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems. Presented at Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”, Kiev

We study the ratchet behavior of polarons in diatomic molecular chains under the influence of an external electromagnetic field which is periodic in time. We show that in asymmetric chains a harmonic unbiased field causes a drift of polarons. This ph... Read More about Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems..

Dynamics of the topological structures in inhomogeneous media
Presentation / Conference Contribution
Ferreira, L., Piette, B., & Zakrzewski, W. (2008, December). Dynamics of the topological structures in inhomogeneous media. Presented at The 5th International Symposium on Quantum Theory and Symmetries, Valladolid, Spain

We present a general review of the dynamics of topoligical solitons in 1 and 2 dimensions and then discuss some recent work on the scattering of various solitonic objects (such as kinks and breathers etc) on potential obstructions.

Low Energy States in the SU(N) Skyrme Model
Presentation / Conference Contribution
Ioannidou, T., Piette, B., & Zakrzewski, W. (1998, December). Low Energy States in the SU(N) Skyrme Model. Presented at ISPM-98

Solitonic Electron States and the Modified non-linear Schrodinger Equation in 2 and more Dimensions
Presentation / Conference Contribution
Zakrzewsk, W., Brizhik, L., Eremko, A., & Piette, B. (2002, December). Solitonic Electron States and the Modified non-linear Schrodinger Equation in 2 and more Dimensions. Presented at Workshop on Integrable Theories, Solitons and Duality

Interactions of Solitons in (2+1) Dimensions
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1991, December). Interactions of Solitons in (2+1) Dimensions

Extended Structures in (2+1) Dimensions
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1993, December). Extended Structures in (2+1) Dimensions

Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects
Presentation / Conference Contribution
Antoine, J.-P., Duval, M., Murenzi, R., & Piette, B. (1992, December). Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects

Skyrmions and their scattering in (2+1) dimensions
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1991, December). Skyrmions and their scattering in (2+1) dimensions

Some Solutions of the U(N) Sigma Models
Presentation / Conference Contribution
Piette, B. (1988, December). Some Solutions of the U(N) Sigma Models. Presented at Proc. 16th international Colloquium on Group Theoretical Methods in Physics, Varna

Understanding Skyrmions Using Rational Maps
Presentation / Conference Contribution
Manton, N., & Piette, B. (2001, December). Understanding Skyrmions Using Rational Maps. Presented at European Congress of Mathematics, Barcelona

Soliton-like Structure in (2+1) Dimensions
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1993, December). Soliton-like Structure in (2+1) Dimensions

Skyrmions in (2+1) dimensions
Presentation / Conference Contribution
Peyrard, M., Piette, B., & Zakrzewski, W. (1991, December). Skyrmions in (2+1) dimensions. Presented at $25^{th}$ International Conference on High Energy Physics

Skyrmions from Harmonic Maps
Presentation / Conference Contribution
Ioannidou, T., Piette, B., & Zakrzewski, W. (2000, December). Skyrmions from Harmonic Maps. Presented at Quark 2000, St Petersburg

Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1993, December). Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions

Skyrmions scattering in (2+1) dimensions
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1991, December). Skyrmions scattering in (2+1) dimensions

Classical Non-Linear $\sigma$ Models on Grassmann Manifolds
Presentation / Conference Contribution
Antoine, J.-P., & Piette, B. (1987, December). Classical Non-Linear $\sigma$ Models on Grassmann Manifolds. Presented at Recent Development in Mathematical Physics, Schladming

General Structures in (2+1) Dimensional Models
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1994, December). General Structures in (2+1) Dimensional Models

Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules
Presentation / Conference Contribution
Macromolecules. Presented at Frohlich Symposium, Biophysical Aspects of Cancer: Electromagnetic Mechanisms

We study effects of periodic fields on charge transport in macromolecules and show that solitons acquire complex dynamics induced by the interplay between the periodic in time external field, energy dissipation, and depends on the molecule symmetry.... Read More about Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules.

Some Aspects of Dynamics of Topological Solitons
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (2008, December). Some Aspects of Dynamics of Topological Solitons. Presented at 22nd Max Born Symposium,, Wroclaw

We present a general review of the dynamics of topological solitons and then discuss some recent work on the scattering of various solitons (in 1 and 2 dimensions) on potential obstructions.

Some Aspects of Soliton Unwindings.
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1996, December). Some Aspects of Soliton Unwindings

Nontopological structures in the baby-Skyrme model.
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (2000, December). Nontopological structures in the baby-Skyrme model. Presented at Solitons, Properties, Dynamics, Interactions and Applications,

Scattering of extended structures in (2+1) dimensional models,
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1995, December). Scattering of extended structures in (2+1) dimensional models,

Three Dimensional Skyrmions and Harmonic Maps
Presentation / Conference Contribution
Ioannidou, T., Piette, B., & Zakrzewski, W. (1999, December). Three Dimensional Skyrmions and Harmonic Maps

Skyrmions and Domain Walls
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1999, December). Skyrmions and Domain Walls. Presented at Properties, Dynamics, Interactions and Applications,

Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well
Presentation / Conference Contribution
Well. Presented at Dynamic Systems and Applications, Atlanta, Georgia, USA

We analyse the scattering of sine-Gordon kinks and breathers on a square potential well. We show that when a kink is sent onto the well, it can go through it, be trapped, or sometimes even bounce back out of the well. For breathers, the situation is... Read More about Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well.

Soliton-like structures in two dimensions and their properties
Presentation / Conference Contribution
Piette, B., & Zakrzewski, W. (1997, December). Soliton-like structures in two dimensions and their properties

Mass Terms in the Skyrme Model
Presentation / Conference Contribution
Kopeliovich, V., Piette, B., & Zakrzewski, W. (2006, December). Mass Terms in the Skyrme Model. Presented at Quark 2006, St' Petersbourg, Russia

We consider various forms of the mass term for the Skyrme model and their implications on the properties of baryonic states. We show that modifications of the mass term, without changing the asymptotic behaviour of the profile function at large r, ca... Read More about Mass Terms in the Skyrme Model.

SU(N) Skyrmions and two dimensional CPN Rational Maps
Presentation / Conference Contribution
Ioannidou, T., Piette, B., & Zakrzewski, W. (1999, December). SU(N) Skyrmions and two dimensional CPN Rational Maps. Presented at New symmetries and integrable models, Karpacz