Soliton Dynamics for the General Degasperis–Procesi Equation

Georgy Omel’yanov*

*Corresponding author for this work

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


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.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Number of pages10
StatePublished - 2019

Publication series

NameTrends in Mathematics
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Bibliographical note

Publisher Copyright:
© Springer Nature Switzerland AG 2019.


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