Title | ||
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Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev–Petviashvili equation with symbolic computation |
Abstract | ||
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The variable-coefficient Kadomtsev–Petviashvili (KP) equation is hereby under investigation. Painlevé analysis is given out, and an auto-Bäcklund transformation is presented via the truncated Painlevé expansion. Based on the auto-Bäcklund transformation, new analytic solutions are given, including the soliton-like and periodic solutions. It is also reduced to a (1+1)-dimensional partial differential equation via classical Lie group method and the Painlevé I equation by CK direct method. |
Year | DOI | Venue |
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2010 | 10.1016/j.amc.2010.05.002 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
Variable-coefficient Kadomtsev–Petviashvili equation,Painlevé analysis,Auto-Bäcklund transformation,Analytic solution,Similarity reduction | Journal | 216 |
Issue | ISSN | Citations |
12 | 0096-3003 | 2 |
PageRank | References | Authors |
0.77 | 0 | 3 |
Name | Order | Citations | PageRank |
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Xiao-Nan Li | 1 | 2 | 0.77 |
Guang-Mei Wei | 2 | 4 | 1.93 |
Yueqian Liang | 3 | 8 | 4.00 |