Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation |
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| Authors: | Wang-Chuan Ye Biao Li |
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| Institution: | aDepartment of Mathematics, Ningbo University, Ningbo 315211, China;bMM Key Lab, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | Based on the new symmetry group method developed by Lou et al. and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of the cylindrical Korteweg-de Vries (cKdV) equation are obtained. With the transformation groups, a type of group invariant solutions of cKdV equation can be derived from a simple one. Furthermore, some transformations from the cKdV equation to KP equation can also be discovered by this method. |
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