On the persistence properties of the cross-coupled Camassa-Holm system

David Henry; Darryl Holm; Rossen Ivanov

doi:10.21427/fgf4-j274

On the persistence properties of the cross-coupled Camassa-Holm system

David Henry, Darryl Holm, Rossen Ivanov

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Geometry and Symmetry in Physics
Volume	32
DOIs	https://doi.org/10.21427/fgf4-j274 https://doi.org/10.7546/jgsp-32-2013-1-13
Publication status	Published - 1 Jan 2013

Keywords

evolution of solutions
compact support
cross-coupled Camassa-Holm equations
analytical methods
persistence
momenta
exponential decay rate

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10.21427/fgf4-j274Licence: CC BY-NC-SA
10.7546/jgsp-32-2013-1-13

Cite this

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abstract = "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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KW - analytical methods

KW - persistence

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On the persistence properties of the cross-coupled Camassa-Holm system

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Keywords

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