On the Persistence Properties of the Cross-Coupled Camassa-Holm System

Authors

David Henry, University College CorkFollow
Darryl Holm, Imperial College London
Rossen Ivanov, Technological University DublinFollow

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Pure mathematics, Applied mathematics

Publication Details

Journal of Geometry and Symmetry in Physics, vol. 32 (2013) pp 1--13, http://www.bio21.bas.bg/jgsp/

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.

DOI

http://doi.org10.21427/fgf4-j274

Recommended Citation

D. Henry, D. Holm and R. Ivanov, On the Persistence Properties of the Cross-Coupled Camassa-Holm System, J. of Geometry and Symmetry in Physics, 32 (2013) 1–13. http://www.bio21.bas.bg/jgsp/ doi: 10.21427/fgf4-j274

Funder

SFI