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.
Citation
Stevan Bellec. Mathieu Colin. "On the existence of solitary waves for Boussinesq type equations and Cauchy problem for a new conservative model." Adv. Differential Equations 21 (9/10) 945 - 976, September/October 2016. https://doi.org/10.57262/ade/1465912587
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