6 papers
Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
Théo Gaudry, Christian Klein, Jean-Claude Saut +1
In this work we consider the well posed version of the Kaup-Broer-Kuperschmidt system in two dimensions. We numerically construct soliton type solutions and show that they are unst…
Refined wave breaking for the generalized Fornberg-Whitham equation
Jean-Claude Saut, Yuexun Wang
This paper considers a class of non-local equations that are weakly dispersive perturbations of the inviscid Burgers equation, which includes the Fornberg-Whitham equation as a spe…
Refined wave breaking for the one-dimensional nonlinear shallow water equations
Pingchun Liu, Jean-Claude Saut, Shihan Sun +1
This paper aims to give a refined wave breaking description of the Cauchy problem to the one-dimensional nonlinear shallow water equations providing a sharp estimate of the lifespa…
Long time existence for a Boussinesq-like system with strong topography variation
Qi Lu, Jean-Claude Saut, Li Xu
We prove the long time existence of solutions of a Boussinesq system with strong topography variations.
Numerical study of the Amick-Schonbek system in 2D
C. Klein, J. -C. Saut
A numerical study of the 2D Amick-Schonbek Boussinesq system is presented. Numerical evidence is given for the transverse stability of the 1D solitary waves that are line solitary…
Long time existence for a class of weakly transverse Boussinesq systems
Qi Li, Jean-Claude Saut, Li Xu
We prove the existence on long time scales of the solutions to the Cauchy problem for a version of weakly transverse Boussinesq systems arising in the modeling of surface water wav…