All Outputs (97)

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, 3689-3697

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

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

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

Skyrmions and Rational Maps (2001)
Journal Article
Ioannidou, T., Piette, B., Sutcliffe, P., & Zakrzewski, W. (2001). Skyrmions and Rational Maps. Nonlinearity, C1-C5

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.

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

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

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),

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),

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, 6353-6365

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, 359-381

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

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