3 papers
math.AP2026
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…
math.AP2024
On the Kaup-Broer-Kupershmidt systems
C. Klein, J. -C. Saut
The aim of this paper is to survey and complete, mostly by numerical simulations, results on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. I…
math.AP2023
On the Benjamin and related equations
C. Klein, F. Linares, D. Pilod +1
We consider in this paper various theoretical and numerical issues on classical one dimensional models of internal waves with surface tension.They concern the Cauchy problem, inclu…