Non-permanent form solutions in the Hamiltonian formulation of surface water waves

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dc.creatorBenzekri, Tounsia
dc.creatorLima, Ricardo
dc.creatorVittot, Michel
dc.date2006-09-21
dc.date.accessioned2026-07-07T07:25:33Z
dc.date.available2026-07-07T07:25:33Z
dc.descriptionUsing the KAM method, we exhibit some solutions of a finite-dimensional approximation of the Zakharov Hamiltonian formulation of gravity water waves, which are spatially periodic, quasi-periodic in time, and not permanent form travelling waves. For this Hamiltonian, which is the total energy of the waves, the canonical variables are some complex quantities an and a*n, which are linear combinations of the Fourier components of the free surface elevation and the velocity potential evaluated at the surface. We expose the method for the case of a system with a finite number of degrees of freedom, the Zufiria model, with only 3 modes interacting.
dc.identifierhttps://arxiv.org/abs/nlin/0609053
dc.identifierhttp://arxiv.org/abs/nlin/0609053
dc.identifierEur.J.Mech.B-Fluids 19 (2000) 379-390
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116755
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNon-permanent form solutions in the Hamiltonian formulation of surface water waves
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