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Scattering of solitons on resonance

2004/03/19 by O. M. Kiselëv, O M Kiselev, Kiselev, O M +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #msc:35Q55 #msc:37K40

paper · pdf · doi:10.48550/arxiv.math-ph/0403038

LaTeX, 10 pages

arxiv created 2004/03/19 · arxiv updated 2009/12/01

Abstract

We investigate a propagation of solitons for nonlinear Schrodinger equation under small driving force. The driving force passes 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.

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