Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation
arXiv:nlin/0507005 · doi:10.1016/j.physleta.2005.07.001
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.
arXiv comment13 pages, 1 figure. Physics Letters A (accepted)
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Cited by in corpus (8)
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- Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
- Generalised Fourier transform for the Camassa-Holm hierarchy
- The Gardner method for symmetries
- Camassa-Holm cuspons, solitons and their interactions via the dressing method
- -Strands on symmetric spaces
- Conformal and geometric properties of the Camassa-Holm hierarchy
- Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations