Peakon and kink solutions for a system of $0-$Holm-Staley equations
Mathematical Physics
2017-02-23 v1 math.MP
Abstract
In this paper we consider a two-component system of the Holm-Staley equation with no stretching and a one-parameter nonlinearity in the convection term. Point symmetries are found, conditions for the existence of multipeakon and multikink solutions are determined. Solutions for the 1-peakon and 1-kink are explicitly obtained and they exhibit a behaviour quite different of their analogous in the scalar equation.
Keywords
Cite
@article{arxiv.1702.06788,
title = {Peakon and kink solutions for a system of $0-$Holm-Staley equations},
author = {Priscila Leal da Silva and Igor Leite Freire},
journal= {arXiv preprint arXiv:1702.06788},
year = {2017}
}