Artículos de revistas
Theory of small aspect ratio waves in deep water
Fecha
2005-11-15Registro en:
Physica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 211, n. 3-4, p. 377-390, 2005.
0167-2789
10.1016/j.physd.2005.09.001
WOS:000233340400009
Autor
Univ Montpellier 2
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.