The Camassa – Holm Equation : A Loop Group Approach
نویسنده
چکیده
A map is presented that associates with each element of a loop group a solution of an equation related by a simple change of coordinates to the Camassa–Holm (CH) Equation. Certain simple automorphisms of the loop group give rise to Bäcklund transformations of the equation. These are used to find 2-soliton solutions of the CH equation, as well as some novel singular solutions.
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تاریخ انتشار 1997