耦合BBM方程组孤立波解的轨道稳定性(英文)  

Orbital Stability of Solitary Waves for Coupled BBM Equations

作　　者：崔丽威[1] 赵烨[2] 

机构地区：[1]装甲兵工程学院基础部,北京100072 [2]北京石油化工学院数理系,北京102617

出　　处：《数学进展》2012年第3期341-346,共6页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.10271082,No.10671131)

摘　　要：本文研究具有Hamilton形式的耦合BBM方程组孤立波解的轨道稳定性.首先找到两族显式孤立波解.然后通过详细的谱分析证明出孤立波解的轨道稳定性.This paper is concerned with the orbital stability of solitary waves for coupled BBM equations which have Hamiltonian form. First, two families of solitary waves are found in an explicit form. Then by detailed spectral analysis, the solitary waves are found to be orbitally stable.

关 键 词：孤立波 轨道稳定性 谱分析 

分 类 号：O175.2[理学—数学]