All Outputs (7)

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.

Modified ${\pi\over N}$ Scattering on $T_2$ (2005)
Journal Article
Amundsen, D., Cova, R., & Zakrzewski, W. (2005). Modified ${\pi\over N}$ Scattering on $T_2$. WSEAS Transactions on Mathematics, 3, 304-311

Scattering of periodic solitons (2005)
Journal Article
Cova, R., & Zakrzewski, W. (2005). Scattering of periodic solitons. Revista mexicana de física, 50, 527-535

Solitons and Deformed Lattices (2005)
Journal Article
Hartmann, B., & Zakrzewski, W. (2005). Solitons and Deformed Lattices. Journal of Nonlinear Mathematical Physics, 12, 88-104

Laplacians on Lattices (2005)
Journal Article
Zakrzewski, W. (2005). Laplacians on Lattices. Journal of Nonlinear Mathematical Physics, 12, 530-538

A simple model of the charge transfer in DNA-like substances (2005)
Journal Article
Walet, N., & Zakrzewski, W. (2005). A simple model of the charge transfer in DNA-like substances. Nonlinearity, 18(6), 2615-2636. https://doi.org/10.1088/0951-7715/18/6/011

We present a very simple model for the study of charge transport in a molecule patterned on B-DNA. In this model we use a discrete nonlinear Schrödinger equation to describe electrons propagating along the sugar-phosphate backbone of the DNA molecule... Read More about A simple model of the charge transfer in DNA-like substances.

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.