Existence,Orbital Stability and Instability of Solitary Waves for Coupled BBM Equations  

作　　者：Li-wei Cui 

机构地区：[1]Fundamental Department, The Academy of Armored Force Engineering, Beijing 100072, China

出　　处：《Acta Mathematicae Applicatae Sinica》2009年第1期1-10,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10271082,10671131);Beijing Natural Science Foundation(No.1052003)

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.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.

关 键 词：Solitary wave orbital stability/instability spectral analysis decaying estimate 

分 类 号：O29[理学—应用数学]