广义对称正则长波方程孤波解的轨道稳定性  

Stability of solitary wave solutions of generalized symmetric regularized-long-wave equations

作　　者：张海燕[1] 张卫国[1] 李韶伟[1] 杨刘[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2011年第2期155-162,共8页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(11071164);上海市重点学科建设资助项目(S30501);上海市自然科学基金资助项目(10ZR1420800)

摘　　要：研究具两个非线性项的广义对称正则长波方程孤波解的轨道稳定性.利用方程的两个精确孤波解,推出了判别它们轨道稳定的显式表达式.进一步利用分析方法,给出了较为容易判别这两个孤波解轨道稳定的若干充分条件.The orbital stability of solitary wave solutions of the generalized symmetric regularized-long-wave equations with two nonlinear items was studied.By using the two precise solitary wave solutions of the given equations,the explicit expression to determine their orbital stability was odtained.Furthermore,several sufficient conditions for the orbital stability of the two solitary wave solutions were provided by corresponding analysis.

关 键 词：广义对称正则长波方程 稳定性 孤立波解 谱分析 

分 类 号：O175.21[理学—数学]