Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics, Fluids and plasma physics
Abstract
The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation with interesting properties and applications. In this letter we deal with such a twocomponent integrable system of coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global solutions, for some initial data wave breaking occurs. We also discuss the solitary wave solutions. Finally, we present an explicit construction for the peakon solutions in the short wave limit of system.
DOI
https://doi.org/10.1016/j.physleta.2008.10.050
Recommended Citation
Constantin, A. & Ivanov, R. (2008). On an integrable two-component Camassa-Holm shallow water system. Physics Letters A, vol. 372, pg. 7129-7132. doi:10.1016/j.physleta.2008.10.050
Included in
Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons