扰动非线性Schrödinger方程组的动力性态

1.
重庆交通学院计算机与信息学院,重庆 400074;2.广州大学应用数学系, 广州 510405;3.北京应用物理与计算数学研究所北京应用物理与计算数学研究所,北京 100088

基金项目: 国家自然科学基金资助项目(10471046)

Dynamicl Character for a Perturbed Coupled Nonlinear Schr^L dinger System

1.
School of Computer and Information, Chongqing Jiaotong University, Chongqing 400074, P. R. China;

摘要: 研究具周期边界条件的扰动非线性Schrdinger方程组的动力性态，首先，在常值平面上用线性算子的谱对扰动和未扰动系统进行动力性态分析，然后利用奇异扰动理论和不动点原理证明局部不变流形的存在性．
- 非线性Schrdinger方程组 /
- 动力性态 /
- 不变流形
Abstract: The dynamics for a perturbed coupled nonlinear Schr^L dinger system with periodic boundary condition was studiesd. First, the dynamics 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 sigular perturbation theory and the fixed-point argument.
- coupled nonlinear Schr^L dinger system /
- dynamics /
- invariant manifold

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