Dynamicl Character for a Perturbed Coupled Nonlinear Schr<sup>L</sup> dinger System

YU Pei; GAO Ping; GUO Bo-ling

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YU Pei, GAO Ping, GUO Bo-ling. Dynamicl Character for a Perturbed Coupled Nonlinear SchrL dinger System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 757-762.

Citation:

YU Pei, GAO Ping, GUO Bo-ling. Dynamicl Character for a Perturbed Coupled Nonlinear Schr^L dinger System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 757-762.

YU Pei, GAO Ping, GUO Bo-ling. Dynamicl Character for a Perturbed Coupled Nonlinear SchrL dinger System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 757-762.

Citation:

YU Pei, GAO Ping, GUO Bo-ling. Dynamicl Character for a Perturbed Coupled Nonlinear Schr^L dinger System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 757-762.

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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;

Received Date: 2004-05-28
Rev Recd Date: 2005-04-15
Publish Date: 2005-07-15

Abstract

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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References(7)

References

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