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Dynamical character for a perturbed coupled nonlinear Schrödinger system

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Abstract

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.

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Authors and Affiliations

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

    Yu Pei

  2. Department of Applied Mathematics, Guangzhou University, 510405, Guanzhou, P. R. China

    Gao Ping (Professor, Doctor)

  3. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088, Beijing, P. R. China

    Guo Bo-ling

Authors
  1. Yu Pei
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  2. Gao Ping
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  3. Guo Bo-ling
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Corresponding author

Correspondence to Gao Ping.

Additional information

Contributed by GUO Bo-ling

Project supported by the National Natural Science Foundation of China (No. 10471046)

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Pei, Y., Ping, G. & Bo-ling, G. Dynamical character for a perturbed coupled nonlinear Schrödinger system. Appl Math Mech 26, 823–829 (2005). https://doi.org/10.1007/BF02464230

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  • DOI: https://doi.org/10.1007/BF02464230

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2000 Mathematics Subject Classification

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