Theory of small aspect ratio waves in deep water
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Data
2005-11-15
Autores
Kraenkel, Roberto André [UNESP]
Leon, J.
Manna, M. A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water) without potential flow assumption. The resulting equation is shown to sustain periodic waves which on the one side tend to the proper linear limit at small amplitudes, on the other side possess a threshold amplitude where wave crest peaking is achieved. An explicit expression of the crest angle at wave breaking is found in terms of the wave velocity. By numerical simulations, stable soliton-like solutions (experiencing elastic interactions) propagate in a given velocities range on the edge of which they tend to the peakon solution. (c) 2005 Elsevier B.V. All rights reserved.
Descrição
Palavras-chave
water waves, asymptotic methods, nonlinear dynamics
Como citar
Physica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 211, n. 3-4, p. 377-390, 2005.