Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
Integrable equations exhibit interesting conformal properties and can be written in terms of the so-called conformal invariants. The most basic and important example is the KdV equation and the corresponding Schwarz-KdV equation. Other examples, including the Camassa-Holm equation and the associated Camassa-Holm equation are investigated in this paper. It is shown that the Baecklund transform is related to the conformal properties of these equations. Some particular solutions of the Associated Camassa-Holm Equation are discussed also.
Keywords
Cite
@article{arxiv.nlin/0507005,
title = {Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation},
author = {Rossen I. Ivanov},
journal= {arXiv preprint arXiv:nlin/0507005},
year = {2007}
}
Comments
13 pages, 1 figure. Physics Letters A (accepted)