arXiv:1712.04410 Abstract | arXiv Analytics

arXiv:1712.04410 [math.AP]Abstract References Reviews Resources

Soliton dynamics for the general Degasperis-Procesi equation

Published 2017-12-12Version 1

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.

Comments: 13 pages, 3 figures

Categories: math.AP

Subjects: 35Q53, 35D30

Keywords: general degasperis-procesi equation, soliton dynamics, smooth soliton type solution, main result consists, conservation laws contains

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