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^*

^*Autor correspondiente de este trabajo

Producción científica: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Título de la publicación alojada	Operator Theory
Subtítulo de la publicación alojada	Advances and Applications
Editorial	Springer International Publishing
Páginas	153-170
Número de páginas	18
DOI	https://doi.org/10.1007/978-3-319-51911-1_9
Estado	Publicada - 2017

Serie de la publicación

Nombre	Operator Theory: Advances and Applications
Volumen	260
ISSN (versión impresa)	0255-0156
ISSN (versión digital)	2296-4878

Nota bibliográfica

Publisher Copyright:
© 2017, Springer International Publishing AG.

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

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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.",

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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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