Dullin-Gottwald-Holm方程有界行波解的分类
Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation
摘要：
本文对可积Dullin-Gottwald-Holm方程的所有有界行波解进行了分类。它表明，它分解在两个已知的情况下：Camassa-Holm和Korteweg-de Vries方程。对于前者，分类类似于[J. Lenells，Camassa-Holm方程的行波解，J. Diff.等式，v. 217，393-430，（2005）]，而对于后者，仅可能获得光滑解。
英文摘要：
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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