Soliton splitting in quenched classical integrable systems

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 for wh...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2016-08, Vol.49 (33), p.335201, Article 335201
Main Authors: Gamayun, O, Semenyakin, M
Format: Article
Language:English
Subjects:
non-equilibrium dynamics
quench
solitons
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Summary: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 for 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 Korteweg-de Vries, sine-Gordon and non-linear Schrödinger integrable equations.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/49/33/335201