| Soliton Solutions,B/icklund Transformations and Lax Pair for a （3 ＋ 1）-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids |
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| 引用本文： | 王云坡,田播,孙文荣,甄慧玲,江彦,孙亚,解西阳.Soliton Solutions,B/icklund Transformations and Lax Pair for a （3 ＋ 1）-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids[J].理论物理通讯,2014,61(5):551-557. |
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| 作者姓名： | 王云坡 田播 孙文荣 甄慧玲 江彦 孙亚 解西阳 |
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| 作者单位： | State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing Universityof Posts and Telecommunications, Beijing 100876, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 11272023, the Open Fund of State Key Laboratory of Information Photonics and Optical Communications （Beijing University of Posts and Telecommunications） under Grant No. IPOC2013B008, and the Fundamental Research Funds for the Central Universities of China under Grant No. 2011BUPTYB02 |
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| 摘 要： | Under investigation in this paper is a （3 q- 1）-dimensional variable-coefficient Kadomtsev-Petviashvili equation, which describes the propagation of surface and internal water waves. By virtue of the binary Bell polynomials, symbolic computation and auxiliary independent variable, the bilinear forms, soliton solutions, Backlund transformations and Lax pair are obtained. Variable coefficients of the equation can affect the solitonic structure, when they are specially chosen, while curved and linear solitons are illustrated. Elastic collisions between/among two and three solitons are discussed, through which the solitons keep their original shapes invariant except for some phase shifts.
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| 关 键 词： | Lax对 变系数 孤立波解 方程 Backlund变换 双线性形式 流体 孤子解 |
| 收稿时间： | 2013-11-15 |
Soliton Solutions,Bäcklund Transformations and Lax Pair for a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids |
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| WANG Yun-Po,TIAN Bo SUN Wen-Rong,ZHEN Hui-Ling,JIANG Yan,SUN Ya,XIE Xi-Yang.Soliton Solutions,Bäcklund Transformations and Lax Pair for a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids[J].Communications in Theoretical Physics,2014,61(5):551-557. |
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| Authors: | WANG Yun-Po TIAN Bo SUN Wen-Rong ZHEN Hui-Ling JIANG Yan SUN Ya XIE Xi-Yang |
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| Institution: | State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| Abstract: | Under investigation in this paper is a (3+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation, which describes the propagation of surface and internal water waves. By virtue of the binary Bell polynomials, symbolic computation and auxiliary independent variable, the bilinear forms, soliton solutions, Bäcklund transformations and Lax pair are obtained. Variable coefficients of the equation can affect the solitonic structure, when they are specially chosen, while curved and linear solitons are illustrated. Elastic collisions between/among two and three solitons are discussed, through which the solitons keep their original shapes invariant except for some phase shifts. |
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| Keywords: | （3 ＋ 1）-dimensional variable-coefficient Kadomtsev-Petviashvili equation soliton solutions B~cklund transformations symbolic computation |
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