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arXiv · 1512.02035

Soliton splitting in quenched classical integrable systems

O. Gamayun·M. Semenyakin
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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 $η$ and take the obtained profile as a new initial condition. We find the values of $η$ 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 Schrödinger integrable equations.

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O. Gamayun, M. Semenyakin. 2015-12-07. Soliton splitting in quenched classical integrable systems. https://doi.org/10.1088/1751-8113%2F49%2F33%2F335201

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