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

Publication Details

Physics Letters A, 372 (2008), 7129-7132 Available from the Publisher here http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TVM-4TSTY7S-1-1&_cdi=5538&_user=2322584&_pii=S0375960108015351&_origin=search&_zone=rslt_list_item&_coverDate=12%2F08%2F2008&_sk=996279951&wchp=dGLbVlb-zSkWA&md5=dfe974148c94e45b3900ea5762489e02&ie=/sdarticle.pdf

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.