Document Zbl 1375.35358

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On the existence of solitary waves for Boussinesq type equations and Cauchy problem for a new conservative model. (English) Zbl 1375.35358

Adv. Differ. Equ. 21, No. 9-10, 945-976 (2016).

Summary: 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.

Cited in 3 Documents

MSC:

35Q35	PDEs in connection with fluid mechanics
35A01	Existence problems for PDEs: global existence, local existence, non-existence
35C07	Traveling wave solutions

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