General Degasperis-Procesi equation and its solitary wave solutions

J. Noyola Rodriguez and Omel’yanov, G.

Chaos, Solitons & Fractals, 2019, vol. 118, issue C, 41-46

Abstract: 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”).

Keywords: General Degasperis-Procesi model; Camassa-Holm equation; Soliton; Peakon (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:118:y:2019:i:c:p:41-46

DOI: 10.1016/j.chaos.2018.10.031

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