On the existence of solitary waves for Boussinesq type equations and a new conservative model. - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Advances in Differential Equations Année : 2016

On the existence of solitary waves for Boussinesq type equations and a new conservative model.

Résumé

In this paper, we present a long time existence theory for a new enhanced Boussinesq-type system with constant bathymetry written in a conservative form. We also prove the existence of solitary wave for a large class of asymptotic models, including Beji-Nadaoka, Madsen-Sorensen and Nwogu equations. Furthermore, we give a procedure to calculate numerically these particular solutions and we present some effective computations.
Fichier non déposé

Dates et versions

hal-01378585 , version 1 (10-10-2016)

Identifiants

  • HAL Id : hal-01378585 , version 1

Citer

Stevan Bellec, Mathieu Colin. On the existence of solitary waves for Boussinesq type equations and a new conservative model.. Advances in Differential Equations, 2016, 21 (9,10), pp.945-976. ⟨hal-01378585⟩
113 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More