Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation

Yan Zhenya; Zhang Hongqing

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Yan Zhenya, Zhang Hongqing. Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation[J]. Applied Mathematics and Mechanics, 2000, 21(6): 585-589.

Citation:

Yan Zhenya, Zhang Hongqing. Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation[J]. Applied Mathematics and Mechanics, 2000, 21(6): 585-589.

Citation:

Yan Zhenya, Zhang Hongqing. Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation[J]. Applied Mathematics and Mechanics, 2000, 21(6): 585-589.

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Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation

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

Received Date: 1999-03-02
Rev Recd Date: 1999-12-13
Publish Date: 2000-06-15

Abstract

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 PainleveⅠ,Painleve Ⅱ and PainleveⅣ reductions.
- variable coefficient generalized Kadomtsev-Petviashvili equation,
- direct reduction method,
- similarity reduction

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References(8)

References

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