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arXiv · 2311.17517

Numerical study of the Amick-Schonbek system

C. Klein·J. -C. Saut
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Abstract

The aim of this paper is to present a survey and a detailed numerical study on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. In the one-dimensional case, this system can be viewed as a dispersive perturbation of the hyperbolic Saint-Venant (shallow water) system. The asymptotic stability of the solitary waves is numerically established. Blow-up of solutions for initial data not satisfying the non-cavitation condition as well as the appearence of dispersive shock waves are studied.

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C. Klein, J. -C. Saut. 2023-11-29. Numerical study of the Amick-Schonbek system. https://arxiv.org/abs/2311.17517

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