English

On the Kaup-Broer-Kupershmidt systems

Analysis of PDEs 2024-02-28 v1 Exactly Solvable and Integrable Systems

Abstract

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. It is the only member of the so-called (abcd) family of Boussinesq systems known to be completely integrable.

Keywords

Cite

@article{arxiv.2402.17576,
  title  = {On the Kaup-Broer-Kupershmidt systems},
  author = {C. Klein and J. -C. Saut},
  journal= {arXiv preprint arXiv:2402.17576},
  year   = {2024}
}
R2 v1 2026-06-28T15:02:04.196Z