Asymptotic Dynamics of Monochromatic Short Surface Wind Waves Auteur(s): Manna M. (Article) Publié: Physica, vol. p.231-236 (2001) Texte intégral en Openaccess : Ref Arxiv: nlin.PS/0001069 DOI: 10.1016/S0167-2789(00)00205-0 WoS: 000167188600001 Ref. & Cit.: NASA ADS 27 Citations Résumé: A nonlinear equation governing asymptotic dynamics of monochromatic short surface wind waves is derived by using a short wave perturbative expansion on a generalized version of the Green-Naghdi system. It admits peakon solutions with amplitude, velocity and width in interrelation and static compacton solutions with amplitude and width in interrelation. Short wave pattern formation is shown to result from a balance between linear dispersion and nonlinearity. |