On the persistence properties of the cross-coupled Camassa-Holm system
Analysis of PDEs
2013-11-12 v1
Abstract
In this paper we examine the evolution of solutions, that initially have compact support, of a recently-derived system of cross-coupled Camassa-Holm equations. The analytical methods which we employ provide a full picture for the persistence of compact support for the momenta. For solutions of the system itself, the answer is more convoluted, and we determine when the compactness of the support is lost, replaced instead by an exponential decay rate.
Keywords
Cite
@article{arxiv.1311.2127,
title = {On the persistence properties of the cross-coupled Camassa-Holm system},
author = {David Henry and Darryl D. Holm and Rossen I. Ivanov},
journal= {arXiv preprint arXiv:1311.2127},
year = {2013}
}
Comments
13 pages, 1 figure