Scattering of solitons on resonance. Asymptotics and numeric simulations

Details Scattering of solitons on resonance. Asymptotics and numeric simulations Scattering of solitons on resonance. Asymptotics and numeric simulations

2004-10-18

arxiv.org/abs/nlin/0410024v1

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, 2 figures

Scientific paper

We investigate a propagation of solitons for nonlinear Schr\"odinger 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.

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