Soliton dynamics for the general Degasperis-Procesi equation
Analysis of PDEs
2017-12-13 v1
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.
Cite
@article{arxiv.1712.04410,
title = {Soliton dynamics for the general Degasperis-Procesi equation},
author = {Georgy Omel'yanov},
journal= {arXiv preprint arXiv:1712.04410},
year = {2017}
}
Comments
13 pages, 3 figures