| New Multi-soliton Solutions for the （2＋1）-Dimensional Kadomtsev-Petviashvili Equation |
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| 作者姓名： | Zhaqilao ;LI Zhi-Bin |
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| 作者单位： | [1]Department of Computer Science, East China Normal University, Shanghai 200062, China; [2]College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| 基金项目： | The project supported by the State Key Basic Research Program of China under Grant No. 2004CB318000 and the Research Fund for the Doctoral Program of Higher Education of China under Grant No. 20060269006 |
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| 摘 要： | In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a （1＋1）- dimensional Broer-Kaup （BK） equation and a （1＋1）-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili （KP） equation are obtained.
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| 关 键 词： | 孤立子 方程 转化模式 空间 |
| 收稿时间： | 2007-05-27 |
New Multi-soliton Solutions for the (2+1)-Dimensional
Kadomtsev-Petviashvili Equation |
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| Zhaqilao,;LI Zhi-Bin.New Multi-soliton Solutions for the (2+1)-Dimensional
Kadomtsev-Petviashvili Equation[J].Communications in Theoretical Physics,2008,49(3):585-589. |
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| Authors: | Zhaqilao LI Zhi-Bin |
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| Institution: | 1. Department of Computer Science, East China Normal University,
Shanghai 200062, China
;2. College of Mathematics Science, Inner Mongolia Normal
University, Huhhot 010022, China |
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| Abstract: | In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)-dimensional
Broer-Kaup (BK) equation and a (1+1)-dimensional high-order
Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems,
2N-soliton solutions of the BK equation, the high-order BK
equation, and the Kadomtsev-Petviashvili (KP) equation are obtained. |
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| Keywords: | Darboux transformation soliton solution KP equation BK equation |
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