Document Type
Conference Paper
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
Our aim is to describe the derivation of shallow water model equations for the constant vorticity case and to demonstrate how these equations can be related to two integrable systems: a two component integrable generalization of the Camassa-Holm equation and the Kaup - Boussinesq system.
Recommended Citation
R. Ivanov, Two component integrable systems modelling shallow water waves, Oberwolfach reports, Volume 6, Issue 1, 2009, Wave Motion (pp. pp. 429–462).
Included in
Dynamic Systems Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
Oberwolfach reports, Volume 6, Issue 1, 2009