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| DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRODINGER SYSTEM | |
| 引用本文： | 余沛 高平 郭柏灵. DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRODINGER SYSTEM[J]. 应用数学和力学(英文版), 2005, 26(7): 823-829. DOI: 10.1007/BF02464230 |
| 作者姓名： | 余沛 高平 郭柏灵 |
| 作者单位： | [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 |
| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10471046） |
| 摘 要： | |
| 关 键 词： | Schrodinger非线性系统 动态特性 扰动性 不变量 线性算子 |
| 文章编号： | 0253-4827（2005）07-0823-07 |
| 收稿时间： | 2004-05-28 |
| 修稿时间： | 2005-04-15 |
Dynamical character for a perturbed coupled nonlinear Schrödinger system |
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| Yu Pei,Gao Ping,Guo Bo-ling. Dynamical character for a perturbed coupled nonlinear Schrödinger system[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(7): 823-829. DOI: 10.1007/BF02464230 | |
| Authors: | Yu Pei Gao Ping Guo Bo-ling |
| Affiliation: | 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 |
| Abstract: | 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. |
| Keywords: | coupled nonlinear Schrodinger system dynamical character invariantmanifold |
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