The complexity of wave propagation of the nonlinear Schrödinger equation with weak periodic external field |
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| Authors: | Yanxia Hu Keying Guan |
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| Affiliation: | 1. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;2. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | A nonlinear Schrödinger equation with external field is obtained for nonlinear optics in a non-homogeneous medium. On the basis of the Melnikov function and KAM theory, the complexity of the wave propagation of the equation is studied in the case of weak periodic external field. |
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| Keywords: | 35B40 35B45 |
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