Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation |
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Authors: | Xiao-Nan Li Yue-Qian Liang |
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Institution: | LMIB and School of Mathematics and System Sciences, Beihang University, Beijing 100191, China |
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Abstract: | 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. |
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Keywords: | Variable-coefficient Kadomtsev-Petviashvili equation Painlevé analysis Auto-Bä cklund transformation Analytic solution Similarity reduction |
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