JournalsemssVol. 12, No. 1pp. 215–242

On the Kaup–Broer–Kupershmidt systems

  • Christian Klein

    Université de Bourgogne, Dijon, France; Institut Universitaire de France, Paris, France

  • Jean-Claude Saut

    Université Paris-Saclay et CNRS, Orsay, France
On the Kaup–Broer–Kupershmidt systems cover
Download PDF

This article is published open access under our Subscribe to Open model.

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 () family of Boussinesq systems known to be completely integrable.

Cite this article

Christian Klein, Jean-Claude Saut, On the Kaup–Broer–Kupershmidt systems. EMS Surv. Math. Sci. 12 (2025), no. 1, pp. 215–242

DOI 10.4171/EMSS/98