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Dynamical properties of a Soliton in a Potential Well

Piette, B.; Zakrzewski, W.J.

Authors

W.J. Zakrzewski



Abstract

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. We also present a model based on a pseudo-geodesic approximation to the full system which shows that the vibrational modes of the soliton play a crucial role in the dynamical properties of its interactions with potential wells.

Citation

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

Journal Article Type Article
Publication Date 2007-01
Deposit Date Nov 22, 2010
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 40
Issue 2
Pages 329-346
DOI https://doi.org/10.1088/1751-8113/40/2/011
Keywords Solitons, Numerical simulation, solution of equations, Potential theory, Approximations and expansions
Public URL https://durham-repository.worktribe.com/output/1536998