Geometric Integrability of Some Generalizations of the Camassa-Holm Equation

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.

Saved in:
Bibliographic Details
Main Author: Ognyan Christov
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/738509
Tags: Add Tag
No Tags, Be the first to tag this record!