Geometric Integrability of Some Generalizations of the Camassa-Holm Equation

Ognyan Christov
2011 International Journal of Differential Equations  
We study the Camassa-Holm (CH) equation and recently introducedμCH equation from the geometric point of view. We show that Kupershmidt deformations of these equations describe pseudospherical surfaces and hence are geometrically integrable.
doi:10.1155/2011/738509 fatcat:mr6jhktvojasngm2t3v7k7jpjy