Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
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 B¨acklund transform is related to the conformal properties of these equations. Some particular solutions of the Associated Camassa-Holm Equation are discussed also.
DOI
https://doi.org/10.1016/j.physleta.2005.07.001
Recommended Citation
Ivanov, R. Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation, Physics Letters A, vol. 345, no's 1-3, pg. 112-118 doi:10.1016/j.physleta.2005.07.001
Funder
SFI
Included in
Dynamic Systems Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
