Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation

Details Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation

2005-07-03

arxiv.org/abs/nlin/0507005v1

Physics Letters A 345 (2005) 112-118

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 1 figure. Physics Letters A (accepted)

Scientific paper

10.1016/j.physleta.2005.07.001

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.

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