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arXiv · 1712.04410

Soliton dynamics for the general Degasperis-Procesi equation

Georgy Omel'yanov
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Abstract

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.

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Georgy Omel'yanov. 2017-12-12. Soliton dynamics for the general Degasperis-Procesi equation. https://arxiv.org/abs/1712.04410

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