Advances in Differential Equations
- Adv. Differential Equations
- Volume 21, Number 9/10 (2016), 945-976.
On the existence of solitary waves for Boussinesq type equations and Cauchy problem for a new conservative model
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.
Adv. Differential Equations, Volume 21, Number 9/10 (2016), 945-976.
First available in Project Euclid: 14 June 2016
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Bellec, Stevan; Colin, Mathieu. On the existence of solitary waves for Boussinesq type equations and Cauchy problem for a new conservative model. Adv. Differential Equations 21 (2016), no. 9/10, 945--976. https://projecteuclid.org/euclid.ade/1465912587