| Bcklund Transformations and Solutions of a Generalized Kadomtsev-Petviashvili Equation |
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| 引用本文： | 王云虎,陈勇. Bcklund Transformations and Solutions of a Generalized Kadomtsev-Petviashvili Equation[J]. 理论物理通讯, 2012, 57(2): 217-222 |
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| 作者姓名： | 王云虎 陈勇 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos. 10735030 and 11075055;Innovative Research Team Program of the National Natural Science Foundation of China under Grant No. 61021004 |
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| 摘 要： | In this paper,the bilinear form of a generalized Kadomtsev-Petviashvili equation is obtained by applying the binary Bell polynomials.The N-soliton solution and one periodic wave solution are presented by use of the Hirota direct method and the Riemann theta function,respectively.And then the asymptotic analysis demonstrates one periodic wave solution can be reduced to one soliton solution.In the end,the bilinear Bcklund transformations are derived.
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| 关 键 词： | binary Bell polynomial Bcklund transformation periodic wave solution N-soliton solution Riemann theta function |
| 收稿时间： | 2011-09-05 |
Bäcklund Transformations and Solutions of a Generalized Kadomtsev-Petviashvili Equation |
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| WANG Yun-Hu and CHEN Yong. Bäcklund Transformations and Solutions of a Generalized Kadomtsev-Petviashvili Equation[J]. Communications in Theoretical Physics, 2012, 57(2): 217-222 |
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| Authors: | WANG Yun-Hu and CHEN Yong |
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| Affiliation: | 1.Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;2.Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Abstract: | In this paper, the bilinear form of a generalized Kadomtsev-Petviashvili equation is obtained by appling the binary Bell polynomials. The N-soliton solution and one periodic wave solution are presented by use of the Hirota direct method and the Riemann theta function, respectively. And then the asymptotic
analysis demonstrates one periodic wave solution can be reduced to one soliton solution. In the end, the bilinear Bäcklund transformations are derived. |
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| Keywords: | binary Bell polynomial Bäcklund transformation periodic wave solution N-soliton solution Riemann theta function |
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