On the Kaup–Broer–Kupershmidt systems
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.
Authors
- Jean‐Claude Saut
- Christian Klein (ORCID: https://orcid.org/0000-0002-6936-7412)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Bourgogne (FR)
- Institut Universitaire de France (FR)
- Université Paris-Saclay (FR)
Publication Details
- Journal
- EMS Surveys in Mathematical Sciences
- Published
- 2025-04-03
- DOI
- https://doi.org/10.4171/emss/98
- Citations
- 4
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 5.29