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| A Generalized Variable-Coefficient Algebraic Method Exactly Solving （3＋1）-Dimensional Kadomtsev-Petviashvilli Equation | |
| 引用本文： | BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong. A Generalized Variable-Coefficient Algebraic Method Exactly Solving （3＋1）-Dimensional Kadomtsev-Petviashvilli Equation[J]. 理论物理通讯, 2005, 44(5): 821-826 |
| 作者姓名： | BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong |
| 作者单位： | [1]physical Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China [2]Communication School, Shandong Normal University, Jinan 250014, China |
| 基金项目： | The project supported by National Natural Science Foundation of China and the Natural Science Foundation of Shandong Province of China under Grant No. 2004ZX16 |
| 摘 要： | A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for （3＋1）-dimensional Kadomtsev-Petviashvilli （KP） equation. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh method, the extended tanh method, the Jacobi elliptic function method, and the algebraic method, the proposed method gives new and more general solutions. |
| 关 键 词： | 三维KP方程 变量系数 代数法 精确解 椭圆周期函数 |
| 收稿时间： | 2005-01-19 |
| 修稿时间： | 2005-01-19 |
A Generalized Variable-Coefficient Algebraic Method ExactlySolving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation |
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| BAI;Cheng-Lin;BAI;Cheng-Jie;ZHAO;Hong. A Generalized Variable-Coefficient Algebraic Method ExactlySolving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation[J]. Communications in Theoretical Physics, 2005, 44(5): 821-826 | |
| Authors: | BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong |
| Affiliation: | 1. Physical Science and Information Engineering School,Liaocheng University, Liaocheng 252059, China;2. Communication School, Shandong Normal University, Jinan 250014, China |
| Abstract: | A generalized variable-coefficient algebraic method is applied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Amongthem, the Jacobi elliptic periodic solutions exactly degenerate to thesoliton solutions at a certain limit condition. Compared with the existingtanh method, the extended tanh method, the Jacobi elliptic function method,and the algebraic method, the proposed method gives new and more generalsolutions. |
| Keywords: | generalized variable-coefficient algebraic method (3+1)-dimensional KP equation exact explicit solutions |
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