Open Access
2013 On the Persistence Properties of the Cross-Coupled Camassa-Holm System
David Henry, Darryl Holm, Rossen Ivanov
J. Geom. Symmetry Phys. 32: 1-13 (2013). DOI: 10.7546/jgsp-32-2013-1-13


In this paper we examine the evolution of solutions, of a recently-derived system of cross-coupled Camassa-Holm equations, that initially have compact support. The analytical methods which we employ provide a full picture for the persistence of compact support for the momenta. For the 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.


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David Henry. Darryl Holm. Rossen Ivanov. "On the Persistence Properties of the Cross-Coupled Camassa-Holm System." J. Geom. Symmetry Phys. 32 1 - 13, 2013.


Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1300.35124
MathSciNet: MR3135425
Digital Object Identifier: 10.7546/jgsp-32-2013-1-13

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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