Soliton Dynamics for the General Degasperis–Procesi Equation

Georgy Omel’yanov

doi:10.1007/978-3-030-04459-6_43

Soliton Dynamics for the General Degasperis–Procesi Equation

Georgy Omel’yanov^*

^*Autor correspondiente de este trabajo

Resultado de la investigación: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

Resumen

We consider the general Degasperis–Procesi model of shallow water out-flows. This fife parametric family of conservation laws contains, in particular, KdV, Camassa–Holm, and Degasperis–Procesi equations. The main result consists of a criterion which guarantees the existence of a smooth soliton-type solution. We discuss also the scenario of soliton interaction for this model in the nonintegrable case.

Idioma original	Inglés
Título de la publicación alojada	Trends in Mathematics
Editorial	Springer International Publishing
Páginas	445-454
Número de páginas	10
DOI	https://doi.org/10.1007/978-3-030-04459-6_43
Estado	Publicada - 2019

Serie de la publicación

Nombre	Trends in Mathematics
ISSN (versión impresa)	2297-0215
ISSN (versión digital)	2297-024X

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© Springer Nature Switzerland AG 2019.

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10.1007/978-3-030-04459-6_43

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Soliton Dynamics for the General Degasperis–Procesi Equation

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