Work

On the Kaup–Broer–Kupershmidt systems

Year: 2025

Type: article

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.

Source: EMS Surveys in Mathematical Sciences

DOI: 10.4171/emss/98

Authors: Christian Klein, Jean-Claude Saut

Institutions: Université de Bourgogne, Institut Universitaire de France, Centre National de la Recherche Scientifique, Université Paris-Saclay

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Awards: G2659019386, Integrable systems, asymptotic analysis and computational approaches, Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité, G6803667113