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

نویسنده

  • Rossen Ivanov
چکیده

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 Bäcklund transform is related to the conformal properties of these equations. Some particular solutions of the Associated Camassa-Holm Equation are discussed also. PACS: 05.45.Yv, 02.30.Ik

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تاریخ انتشار 2005