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arXiv · 1807.01403

Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation

Priscila Leal da Silva
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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.

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Priscila Leal da Silva. 2018-07-03. Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation. https://arxiv.org/abs/1807.01403

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