Soliton splitting in quenched classical integrable systems
Quantum Gases
2016-11-10 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We take a soliton solution of a classical non-linear integrable equation and quench (suddenly change) its non-linearity parameter. For that we multiply the amplitude or the width of a soliton by a numerical factor and take the obtained profile as a new initial condition. We find the values of at which the post-quench solution consists of only a finite number of solitons. The parameters of these solitons are found explicitly. Our approach is based on solving the direct scattering problem analytically. We demonstrate how it works for Kortewig-de-Vries, sine-Gordon and non-linear Schr\"odinger integrable equations.
Cite
@article{arxiv.1512.02035,
title = {Soliton splitting in quenched classical integrable systems},
author = {O. Gamayun and M. Semenyakin},
journal= {arXiv preprint arXiv:1512.02035},
year = {2016}
}