Higher Dimensional Camassa–Holm Equations
S. Y. Lou1 , Man Jia1* , and Xia-Zhi Hao2*
1 School of Physical Science and Technology, Ningbo University, Ningbo 315211, China2 Faculty of Science, Zhejiang University of Technology, Hangzhou 310014, China
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 $n\geq 1$ 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.
收稿日期: 2023-01-01
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出版日期: 2023-02-06
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02.30.Ik
(Integrable systems)
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2023, Vol. 40 
