DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRDINGER SYSTEM  

作　　者：余沛 高平 郭柏灵 

机构地区：[1]School of Computer and Information, Chongqing Jiaotong University, Chongqing 400074, P.R.China [2]Department of Applied Mathematics, Guangzhou University, Guangzhou 510405, P.R.China [3]Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第7期823-829,共7页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10471046)

摘　　要：The dynamical character for a perturbed coupled nonlinear Schrodinger system with periodic boundary condition was studied. First, the dynamical character of perturbed and unperturbed systems on the invariant plane was analyzed by the spectrum of the linear operator. Then the existence of the locally invariant manifolds was proved by the singular perturbation theory and the fixed-point argument.The dynamical character for a perturbed coupled nonlinear Schrodinger system with periodic boundary condition was studied. First, the dynamical character of perturbed and unperturbed systems on the invariant plane was analyzed by the spectrum of the linear operator. Then the existence of the locally invariant manifolds was proved by the singular perturbation theory and the fixed-point argument.

关 键 词：coupled nonlinear Schrodinger system dynamical character invariantmanifold 

分 类 号：O175.2[理学—数学]