Multi-soliton collision for essentially nonintegrable equations

George Omel’yanov*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

3 Scopus citations


We describe an approach to construct multi-soliton asymptotic solutions for essentially nonintegrable equations. As for equations, we assume the existence of an exact soliton type solution with an exponential decay rate, however we do not suppose the smallness of the interacting waves. The general idea is realized in the cases of two and three waves and for the gKdV-4 equation with small dispersion.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Number of pages18
StatePublished - 2017

Publication series

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG.


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