Multi-soliton collision for essentially nonintegrable equations

George Omel’yanov

doi:10.1007/978-3-319-51911-1_9

Multi-soliton collision for essentially nonintegrable equations

George Omel’yanov^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

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 language	English
Title of host publication	Operator Theory
Subtitle of host publication	Advances and Applications
Publisher	Springer International Publishing
Pages	153-170
Number of pages	18
DOIs	https://doi.org/10.1007/978-3-319-51911-1_9
State	Published - 2017

Publication series

Name	Operator Theory: Advances and Applications
Volume	260
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

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© 2017, Springer International Publishing AG.

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10.1007/978-3-319-51911-1_9

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AB - 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.

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Multi-soliton collision for essentially nonintegrable equations

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