Soliton-type asymptotics for non-integrable equations: A survey

Georgy A. Omel'Yanov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We describe some approaches to construct soliton-type asymptotic solutions for non-integrable equations, including multisoliton case. As an example, we use the generalized Korteweg-de Vries-4 equation with small dispersion.

Original languageEnglish
Pages (from-to)2062-2071
Number of pages10
JournalMathematical Methods in the Applied Sciences
Volume38
Issue number10
DOIs
StatePublished - 15 Jul 2015

Bibliographical note

Publisher Copyright:
Copyright © 2014 John Wiley & Sons, Ltd. Copyright © 2014 John Wiley & Sons, Ltd.

Keywords

  • generalized Korteweg-de Vries equation
  • interaction
  • non-integrability
  • soliton
  • weak asymptotics method
  • weak solution

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