Water-wave gap solitons: An approximate theory and accurate numerical experiments

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dc.creatorRuban, V. P.
dc.date2008-10-07
dc.date2008-10-27
dc.date.accessioned2026-07-07T10:12:57Z
dc.date.available2026-07-07T10:12:57Z
dc.descriptionIt is demonstrated that a standard coupled-mode theory can successfully describe weakly-nonlinear gravity water waves in Bragg resonance with a periodic one-dimensional topography. Analytical solutions for gap solitons provided by this theory are in a reasonable agreement with accurate numerical simulations of exact equations of motion for ideal planar potential free-surface flows, even for strongly nonlinear waves. In numerical experiments, self-localized groups of nearly standing water waves can exist up to hundreds of wave periods. Generalizations of the model to the three-dimensional case are also derived.
dc.descriptionrevtex4, 9 pages, 9 figures, new material added
dc.identifierhttps://arxiv.org/abs/0810.1125
dc.identifierhttp://arxiv.org/abs/0810.1125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172360
dc.subjectFluid Dynamics
dc.titleWater-wave gap solitons: An approximate theory and accurate numerical experiments
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