Higher Dimensional Camassa–Holm Equations

Author:

Lou S. Y.,Jia Man,Hao Xia-Zhi

Abstract

Utilizing some conservation laws of the (1+1)-dimensional Camassa–Holm (CH) equation and/or its reciprocal forms, some (n+1)-dimensional CH equations for n ≥ 1 are constructed by a modified deformation algorithm. The Lax integrability can be proven by applying the same deformation algorithm to the Lax pair of the (1+1)-dimensional CH equation. A novel type of peakon solution is implicitly given and expressed by the LambertW function.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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