Scattering of solitons on resonance. Asymptotics and numeric simulations

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We investigate a propagation of solitons for nonlinear Schrödinger equation under small driving force. The driving force passes through the resonance. The process of scattering on the resonance leads to changing of number of solitons. After the resonance the number of solitons depends on the amplitude of the driving force. The analytical results were obtained by WKB and matching method. We bring two examples of numeric simulations for verifying obtained analytical formulas.
14 pages, 2 figures

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Pattern Formation and Solitons, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80855

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0410024
 http://arxiv.org/abs/nlin/0410024

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arXiv