Some Special Types of Solitary Wave Solutions for the (3+1)-Dimensional Kadomt sev-Petviashvilli Equation |
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| Authors: | WANG LieYan LOU SenYue |
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| Affiliation: | 1. Applied Physics Department, Shanghai Jiao Tong University, Shanghai 200030, China;2. Institute of Mathematical Physics, Ningbo University, Ningbo 315211, China |
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| Abstract: | Using the standard truncated Painlevé analysis, we have obtained some special types of exact explicit solitary wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvilli equations. Usually, one obtains the single solitary wave solution from the Backlund transformation related to the truncated Painlevé analysis starting from the trivial vacuum solution. In this letter, we find some special types of the multi-solitary wave solution from the truncated Painlevé analysis and the trivial vacuum solution. |
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| Keywords: | multi-solitary wave solutions (3+1)-dimensional KP equation truncated Painlevé analysis |
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