Blow-up phenomena and stability of solitary waves for a generalized Dullin-Gottwald-Holm equation

Boundary value problems

Necat Polat¹  Nurhan Dndar¹ 

[1] Department of Mathematics, Dicle University, Diyarbakir, Turkey

关键词: the generalized Dullin-Gottwald-Holm equation;    blow-up;    stability;    solitary wave solution;   

DOI  :  10.1186/1687-2770-2013-226

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we consider the Cauchy problem of the generalized Dullin-Gottwald-Holm equation. We establish a blow-up result for the generalized Dullin-Gottwald-Holm equation. In addition to this, we investigate the stability of solitary wave solutions of the equation.

【 授权许可】

CC BY