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Two-soliton interaction as an elementary act of soliton turbulence in integrable systems

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posted on 2015-03-10, 16:48 authored by Efim N. Pelinovsky, E.G. Shurgalina, A.V. Sergeeva, Tatiana G. Talipova, Gennady El, Roger Grimshaw
Two-soliton interactions play a definitive role in the formation of the structure of soliton turbulence in integrable systems. To quantify the contribution of these interactions to the dynamical and statistical characteristics of the nonlinear wave field of soliton turbulence we study properties of the spatial moments of the two-soliton solution of the Korteweg-de Vries (KdV) equation. While the first two moments are integrals of the KdV evolution, the 3rd and 4th moments undergo significant variations in the dominant interaction region, which could have strong effect on the values of the skewness and kurtosis in soliton turbulence.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physics Letters, Section A: General, Atomic and Solid State Physics

Volume

377

Issue

3-4

Pages

272 - 275

Citation

PELINOVSKY, E.N. ... et al, 2013. Two-soliton interaction as an elementary act of soliton turbulence in integrable systems. Physics Letters A, 377 (3-4), pp.272-275.

Publisher

© Elsevier

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2013

Notes

This is the author’s version of a work that was accepted for publication in Physics Letters A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at: http://dx.doi.org/10.1016/j.physleta.2012.11.037

DOI

ISSN

0375-9601

Publisher version

Other identifier

S0375960112012169

Language

  • en

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    Loughborough Publications

    Categories

    Keywords

    KdV equationSolitonTurbulenceMathematical Sciences not elsewhere classified

    Licence

    CC BY-NC-ND 4.0

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