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Similarity reductions for 2+1-dimensional variable coefficient generalized kadomtsev-petviashvili equation

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Abstract

With the aid of MATHEMATICA, the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation (VCGKPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve 1, Painleve II and Painleve IV reductions.

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Authors and Affiliations

  1. Institute of Mathematical Science, Dalian University of Technology, 116024, Dalian, P R China

    Yan Zhenya (Doctor) & Zhang Hongqing

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  1. Yan Zhenya
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  2. Zhang Hongqing
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Additional information

Paper from Zhang Hongqing, Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (19572022), the National Climbing Project Foundation of China

Biography: Yan Zhenya (1974∼)

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Zhenya, Y., Hongqing, Z. Similarity reductions for 2+1-dimensional variable coefficient generalized kadomtsev-petviashvili equation. Appl Math Mech 21, 645–650 (2000). https://doi.org/10.1007/BF02460183

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  • DOI: https://doi.org/10.1007/BF02460183

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