#### 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.

#### Recommended Citation

R. Ivanov, Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation, Phys. Lett. A 345, 2005, pp 235-243

#### Included in

Dynamic Systems Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons

## Publication Details

Phys. Lett. A 345, 2005, pp 235-243