Chinese Journal of Quantum Electronics, Volume. 31, Issue 6, 663(2014)

Auto-Bcklund transformation and novel exact analytic solutions for generalized variable-coefficient BKP equation

Xiang-hua MENG*... Rui-lin XU and Xiao-ge XU |Show fewer author(s)
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    The generalized variable-coefficient Burgers-Kadomtsev-Petviashvili (BKP) equation was investigated employing the Painleve analysis technique. It showed that the equation does not possess the Painleve property. Via the truncated Painleve expansion method and under the condition f(t)=cg(t) (c is a constant), an auto-Bcklund transformation for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation was derived. Based on the obtained auto-Bcklund transformation, some novel exact analytic solutions were given, including multiple soliton and periodic solutions.

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    MENG Xiang-hua, XU Rui-lin, XU Xiao-ge. Auto-Bcklund transformation and novel exact analytic solutions for generalized variable-coefficient BKP equation[J]. Chinese Journal of Quantum Electronics, 2014, 31(6): 663

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    Paper Information

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    Received: May. 12, 2014

    Accepted: --

    Published Online: Dec. 26, 2014

    The Author Email: Xiang-hua MENG (xhmeng@bistu.edu.cn)

    DOI:10.3969/j.issn.1007-5461.2014.06.004

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