Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
Analysis of PDEs
2026-05-07 v1 Numerical Analysis
Numerical Analysis
Abstract
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 unstable both against dispersion and singularity formation. Further, we study line solitons and their stability, as well as generally localised initial data. In either case we fail to find stable structures.
Cite
@article{arxiv.2605.05183,
title = {Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system},
author = {Théo Gaudry and Christian Klein and Jean-Claude Saut and Nikola Stoilov},
journal= {arXiv preprint arXiv:2605.05183},
year = {2026}
}