Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation
Mathematical Physics
2018-07-05 v1 Analysis of PDEs
math.MP
Abstract
In this paper we classify all bounded travelling wave solutions for the integrable Dullin-Gottwald-Holm equation. It is shown that it decomposes in two known cases: the Camassa-Holm and the Korteweg-de Vries equation. For the former, the classification is similar to the one presented in [J. Lenells, Travelling wave solutions of the Camassa-Holm equation, J. Diff. Eq., v. 217, 393-430, (2005)], while for the latter it is only possible to obtain smooth solutions.
Keywords
Cite
@article{arxiv.1807.01403,
title = {Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation},
author = {Priscila Leal da Silva},
journal= {arXiv preprint arXiv:1807.01403},
year = {2018}
}