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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:471

Article

da Silva, Priscila Leal¹ 

[1] Univ Fed Sao Carlos, Dept Matemat, Rodovia Washington Luis Km 235,SP 310, Sao Carlos, SP, Brazil

关键词: Travelling waves;    Dullin-Gottwald-Holm equation;    Integrable equations;   

DOI  :  10.1016/j.jmaa.2018.10.086

来源: Elsevier

【 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 (2005) [12], while for the latter it is only possible to obtain smooth solutions. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free