Applied Mathematics and Mechanics

, Volume 26, Issue 7, pp 823–829 | Cite as

Dynamical character for a perturbed coupled nonlinear Schrödinger system

  • Yu Pei
  • Gao Ping
  • Guo Bo-ling


The dynamical character for a perturbed coupled nonlinear Schrödinger 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.

Key words

coupled nonlinear Schrödinger system dynamical character invariant manifold 

Chinese Library Classification


2000 Mathematics Subject Classification



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

  1. 1.School of Computer and InformationChongqing Jiaotong UniversityChongqingP. R. China
  2. 2.Department of Applied MathematicsGuangzhou UniversityGuanzhouP. R. China
  3. 3.Institute of Applied Physics and Computational MathematicsBeijingP. R. China

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