A Hamiltonian system for interacting Benjamin-Feir resonances

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dc.creatorBenzekri, Tounsia
dc.creatorChandre, Cristel
dc.creatorLima, Ricardo
dc.creatorVittot, Michel
dc.date2004-07-26
dc.date.accessioned2026-07-07T05:35:50Z
dc.date.available2026-07-07T05:35:50Z
dc.descriptionIn this paper, we present a model describing the time evolution of two dimensional surface waves in gravity and infinite depth. The model of six interacting modes derives from the normal form of the system describing the dynamics of surface waves and is governed by a Hamiltonian system of equations of cubic order in the amplitudes of the waves. We derive a Hamiltonian system with two degrees of freedom from this Hamiltonian using conserved quantities. The interactions are those of two coupled Benjamin-Feir resonances. The temporal evolution of the amplitude of the different modes is described according to the parameters of the system. In particular, we study the energy exchange produced by the modulations of the amplitudes of the modes. The evolution of the modes reveals a chaotic dynamics.
dc.identifierhttps://arxiv.org/abs/nlin/0407060
dc.identifierhttp://arxiv.org/abs/nlin/0407060
dc.identifierJournal of Physics A 38 (2005) 5381
dc.identifierdoi:10.1088/0305-4470/38/24/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80790
dc.subjectChaotic Dynamics
dc.titleA Hamiltonian system for interacting Benjamin-Feir resonances
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