General Degasperis-Procesi equation and its solitary wave solutions

J. Noyola Rodriguez, G. Omel'yanov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

© 2018 Elsevier Ltd We consider the general Degasperis-Procesi model of shallow water out-flows. This six parametric family of conservation laws contains, in particular, KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of criterions which guarantee the existence of solitary wave solutions: solitons and peakons (“peaked solitons”).
Original languageAmerican English
Pages (from-to)41-46
Number of pages6
JournalChaos, Solitons and Fractals
DOIs
StatePublished - 1 Jan 2019

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