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

被引：1

作者：

Dundar, Nurhan ^{[1
]}

Polat, Necat ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

the generalized Dullin-Gottwald-Holm equation; blow-up; stability; solitary wave solution; GLOBAL EXISTENCE; WELL-POSEDNESS; CAMASSA-HOLM; WATER;

D O I：

10.1186/1687-2770-2013-226

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：15

共 23 条

[1]

Albert J., 1999, Automata Implementation. Third International Workshop on Implementing Automata, WIA'98. Revised Papers (Lecture Notes in Computer Science Vol.1660), P1

[2] Wave breaking for nonlinear nonlocal shallow water equations [J].