Scattering of solitons on resonance. Asymptotics and numeric simulations

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dc.creatorKiselev, O. M.
dc.creatorGlebov, S. G.
dc.date2004-10-18
dc.date.accessioned2026-07-07T05:36:02Z
dc.date.available2026-07-07T05:36:02Z
dc.descriptionWe 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.
dc.description14 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0410024
dc.identifierhttp://arxiv.org/abs/nlin/0410024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80855
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleScattering of solitons on resonance. Asymptotics and numeric simulations
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