| Higher Dimensional Camassa–Holm Equations |
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| 作者姓名： | 楼森岳 贾曼 郝夏芝 |
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| 作者单位： | 1. School of Physical Science and Technology,Ningbo University;2. Faculty of Science,Zhejiang University of Technology |
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| 基金项目： | supported by the National Natural Science Foundation of China (Grant Nos. 12235007, 11975131, 11435005, and 12275144); |
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| 摘 要： | 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 Lambert W function.
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| 关 键 词： | Higher Dimensional Camassa Holm Equations |
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