Classical and Nonclassical Solitary Waves in the General Degasperis—Procesi Model

G. Omel’yanov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We consider the general Degasperis-Procesi model of shallow water out-flows, which generalizes the list of famous equations: KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi. Our objective is the construction of classical (solitons) and nonclassical (peakons and cuspons) solitary wave solutions of this equation. Along with the standard weak solutions, we present a new type of waves (that we call “twins”) which are a combination of solitons and cuspons.

Original languageEnglish
Pages (from-to)384-390
Number of pages7
JournalRussian Journal of Mathematical Physics
Volume26
Issue number3
DOIs
StatePublished - 1 Jul 2019

Bibliographical note

Publisher Copyright:
© 2019, Pleiades Publishing, Ltd.

Fingerprint

Dive into the research topics of 'Classical and Nonclassical Solitary Waves in the General Degasperis—Procesi Model'. Together they form a unique fingerprint.

Cite this