| Pfaffianization of the variable-coefficient Kadomtsev-Petviashvili equation＊ |
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| 引用本文： | 张晴帆,范恩贵.Pfaffianization of the variable-coefficient Kadomtsev-Petviashvili equation＊[J].中国物理 B,2007,16(6):1505-1509. |
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| 作者姓名： | 张晴帆 范恩贵 |
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| 作者单位： | Department of Mathematics, Fudan University, Shanghai 200433,
China |
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| 基金项目： | Project supported by the National Key Basic
Research Project of China (2004CB318000), the National Science
Foundation of China
(Grant No~10371023) and Shanghai Shuguang Project of China (Grant No~02SG02). |
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| 摘 要： | This paper constructs more general exact solutions than $N$-soliton
solution and Wronskian solution for variable-coefficient
Kadomtsev--Petviashvili (KP) equation. By using the Hirota method
and Pfaffian technique, it finds the Grammian determinant-type
solution for the variable-coefficient KP equation (VCKP), the
Wronski-type Pfaffian solution and the Gram-type Pfaffian solutions
for the Pfaffianized VCKP equation.
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| 关 键 词： | 变系数 KP方程 Pfaffian技术 Pfaffian解 通解 |
| 收稿时间： | 2006-10-25 |
| 修稿时间： | 2006-10-252006-12-11 |
Pfaffianization of the variable-coefficient Kadomtsev--Petviashvili equation |
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| Zhang Qing-Fan and Fan En-Gui.Pfaffianization of the variable-coefficient Kadomtsev--Petviashvili equation[J].Chinese Physics B,2007,16(6):1505-1509. |
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| Authors: | Zhang Qing-Fan and Fan En-Gui |
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| Institution: | Department of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | This paper constructs more general exact solutions than $N$-soliton
solution and Wronskian solution for variable-coefficient
Kadomtsev--Petviashvili (KP) equation. By using the Hirota method
and Pfaffian technique, it finds the Grammian determinant-type
solution for the variable-coefficient KP equation (VCKP), the
Wronski-type Pfaffian solution and the Gram-type Pfaffian solutions
for the Pfaffianized VCKP equation. |
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| Keywords: | variable-coefficient KP equation Pfaffian
technique Pfaffian solution |
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