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

Stevan Bellec 1 Mathieu Colin 2, 1, 3
1 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
2 Bordeaux INP - Institut Polytechnique de Bordeaux
3 IMB - Institut de Mathématiques de Bordeaux
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.
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https://hal.inria.fr/hal-01378585
Contributor : Mathieu Colin <>
Submitted on : Monday, October 10, 2016 - 2:30:16 PM
Last modification on : Thursday, January 11, 2018 - 6:27:21 AM

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  • HAL Id : hal-01378585, version 1

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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⟩

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