Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations (Q984052)
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scientific article; zbMATH DE number 5736410
| Language | Label | Description | Also known as |
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| English | Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations |
scientific article; zbMATH DE number 5736410 |
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Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations (English)
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13 July 2010
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This paper is devoted to the investigate of the kinetic system of near-integrable coupled nonlinear Schrödinger (CNLS) equations. Using a geometrical perturbation method, the authors establish heteroclinic orbits for such systems. Moreover, the persistence of homoclinic orbits for the perturbed CNLS equation with even and periodic boundary conditions are obtained.
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homoclinic orbits
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heteroclinic orbits
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existence
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coupled nonlinear Schrödinger equations
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Melnikov theory
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transversality
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