耗散孤立波方程的近似惯性流形  

Approximate Inertial Manifold of Dissipative Soliton Equation

作　　者：邝雪松[1] 

机构地区：[1]湛江海洋大学基础部,广东湛江524088

出　　处：《湛江师范学院学报》2005年第3期12-16,共5页Journal of Zhanjiang Normal College

摘　　要：文章考虑了耗散孤立波方程的解的长时间行为,利用算子投射和算子特征值方法,构造了两类近似惯性流形,证明了该方程的任意解轨道在长时间后进入近似惯性流形的任意小邻域.In this paper, the long- time behaviour of solutions of dissipative soliton equation is studied. Two different approximate inertial manifolds of the system are constructed by applying the method of projecting operator and operator eigenvalue, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the approximate inertial manifold after long time.

关 键 词：耗散孤立波方程 算子投射 近似惯性流形 算子特征值 

分 类 号：O175[理学—数学]