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2011 Geometric Integrability of Some Generalizations of the Camassa-Holm Equation
Ognyan Christov
Int. J. Differ. Equ. 2011: 1-13 (2011). DOI: 10.1155/2011/738509

Abstract

We study the Camassa-Holm (CH) equation and recently introduced μCH equation from the geometric point of view. We show that Kupershmidt deformations of these equations describe pseudospherical surfaces and hence are geometrically integrable.

Citation

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Ognyan Christov. "Geometric Integrability of Some Generalizations of the Camassa-Holm Equation." Int. J. Differ. Equ. 2011 1 - 13, 2011. https://doi.org/10.1155/2011/738509

Information

Received: 27 May 2011; Accepted: 17 July 2011; Published: 2011
First available in Project Euclid: 25 January 2017

zbMATH: 1234.35207
MathSciNet: MR2843503
Digital Object Identifier: 10.1155/2011/738509

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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