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| Pfaffianization of the variable-coefficient Kadomtsev-Petviashvili equation＊ | |
| 引用本文： | 张晴帆,范恩贵. Pfaffianization of the variable-coefficient Kadomtsev-Petviashvili equation＊[J]. 中国物理, 2007, 16(6): 1505-1509. DOI: 10.1088/1009-1963/16/6/002 |
| 作者姓名： | 张晴帆 范恩贵 |
| 作者单位： | Department of Mathematics, Fudan University, Shanghai 200433, China |
| 基金项目： | Project supported by the National Key BasicResearch Project of China (2004CB318000), the National ScienceFoundation of China(Grant No~10371023) and Shanghai Shuguang Project of China (Grant No~02SG02). |
| 摘 要： | This paper constructs more general exact solutions than $N$-solitonsolution and Wronskian solution for variable-coefficientKadomtsev--Petviashvili (KP) equation. By using the Hirota methodand Pfaffian technique, it finds the Grammian determinant-typesolution for the variable-coefficient KP equation (VCKP), theWronski-type Pfaffian solution and the Gram-type Pfaffian solutionsfor the Pfaffianized VCKP equation. |
| 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, 2007, 16(6): 1505-1509. DOI: 10.1088/1009-1963/16/6/002 | |
| Authors: | Zhang Qing-Fan and Fan En-Gui |
| Affiliation: | Department of Mathematics, Fudan University, Shanghai 200433, China |
| Abstract: | This paper constructs more general exact solutions than $N$-solitonsolution and Wronskian solution for variable-coefficientKadomtsev--Petviashvili (KP) equation. By using the Hirota methodand Pfaffian technique, it finds the Grammian determinant-typesolution for the variable-coefficient KP equation (VCKP), theWronski-type Pfaffian solution and the Gram-type Pfaffian solutionsfor the Pfaffianized VCKP equation. |
| Keywords: | variable-coefficient KP equation Pfaffiantechnique Pfaffian solution |
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