Abstract : 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.
Type de document :
Article dans une revue
Advances in Differential Equations, Khayyam Publishing, 2016, 21 (9,10), pp.945-976
https://hal.inria.fr/hal-01378585
Contributeur : Mathieu Colin
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Soumis le : lundi 10 octobre 2016 - 14:30:16
Dernière modification le : jeudi 11 janvier 2018 - 06:27:21
Stevan Bellec, Mathieu Colin. On the existence of solitary waves for Boussinesq type equations and a new conservative model.. Advances in Differential Equations, Khayyam Publishing, 2016, 21 (9,10), pp.945-976. 〈hal-01378585〉
