Auto-Backlund transformation and novel exact analytic solutions for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation

Abstract

Abstract: The generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation is investigated employing the Painlevé analysis technique. It has shown that the equation does not possess the Painlevé property. Via the truncated Painlevé expansion method and under the condition ( is a constant), we have derived an auto-B?cklund transformation for the generalized variable- coefficient Burgers-Kadomtsev-Petviashvili equation. Based on the obtained auto-B?cklund transformation, some novel exact analytic solutions are given, including multiple soliton and periodic solutions.

Key words: variable-coefficient Burgers-Kadomtsev-Petviashvili equation, Painlevé analysis, auto- B?cklund transformation, analytic solutions

CLC Number:

O175.29

MENG Xiang-hua, XU Rui-lin, XU Xiao-ge. Auto-Backlund transformation and novel exact analytic solutions for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation[J]. J4, 2014, 31(6): 663-669.

References

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