Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials
Pattern Formation and Solitons
2009-11-10 v1 Statistical Mechanics
Exactly Solvable and Integrable Systems
Abstract
Soliton motion in some external potentials is studied using the nonlinear Schr\"odinger equation. Solitons are scattered by a potential wall. Solitons propagate almost freely or are trapped in a periodic potential. The critical kinetic energy for reflection and trapping is evaluated approximately with a variational method.
Keywords
Cite
@article{arxiv.nlin/0401027,
title = {Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials},
author = {H. Sakaguchi and M. Tamura},
journal= {arXiv preprint arXiv:nlin/0401027},
year = {2009}
}
Comments
9 pages, 7 figures