Existence, orbital stability and instability of solitary waves for coupled BBM equations

被引：0
作者：
Li-wei Cui
机构：
[1] The Academy of Armored Force Engineering,Fundamental Department
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2009年 / 25卷
关键词：
Solitary wave; orbital stability/instability; spectral analysis; decaying estimate; 35Q51; 35B35; 35A07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the orbital stability/instability of solitary waves for coupled BBM equations which have Hamiltonian form. The explicit solitary wave solutions will be worked out first. Then by detailed spectral analysis and decaying estimates of solutions for the initial value problem, we obtain the orbital stability /instability of solitary waves.
引用
收藏
页码：1 / 10
页数：9
相关论文
共 21 条
  • [1] Alarcon E.(1999)Stability and instability of solitary waves for a nonlinear dispersive system Nonlinear Analysis 36 1015-1035
  • [2] Angulo J.(1991)Total positivity and the stability of internal waves in stratified fluids of finite depth IMA J. Appl. Math. 46 1-19
  • [3] Montenegro J.F.(1987)Stability and instability of solitary waves of Korteweg-de vires type Proc. R. Soc. Lon. A411 395-412
  • [4] Albert J.P.(1987)Stability theory of solitary waves in the presence of symmetry, I J. Funct. Anal. 74 160-197
  • [5] Bona J.L.(1990)Stability theory of solitary waves in the presence of symmetry, II J. Funct. Anal. 94 308-348
  • [6] Bona J.L.(1995)Orbital stability of solitary waves for nonlinear derivative Schrödinger equation J. Differential Equations 123 1-34
  • [7] Souganidis P.E.(2003)Existence and stability of solitary wave solutions of equations of BBM type J. Differential Equations 188 1-32
  • [8] Strauss W.(1993)Instability of solitary waves for generalized Boussinesq equations J. Dynamics Differential Equations 5 537-558
  • [9] Grilakis M.(1990)Instability of a class of dispersive solitary waves Proc. R. Soc. Edinburg 114A 195-212
  • [10] Shatah J.(2007)Instability of solitary waves in nonlinear composite media Acta Mathematicae Applicatae Sinica 23 311-318
123