| 高阶广义(3 + 1)维Kadomtsov-Petviashivilli方程新的显式解 |
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| 引用本文： | 李宁,刘希强.高阶广义(3 + 1)维Kadomtsov-Petviashivilli方程新的显式解[J].量子电子学报,2013,30(4):391-397. |
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| 作者姓名： | 李宁 刘希强 |
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| 作者单位： | 聊城大学数学科学学院， 山东 聊城 252059 |
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| 摘 要： | 利用广义的代数方法,研究了高阶广义（3+1）维Kadomtsov-Petviashivilli方程，得到了许多新的显式解，这些解包括椭圆函数解，双曲函数解，三角函数解等。
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| 关 键 词： | 非线性方程 显式解 广义代数方法 广义KP方程 齐次平衡法 |
| 收稿时间： | 2013-01-04 |
| 修稿时间： | 2013-03-20 |
New explicit solutions of generalized (3+1)-dimensional higher-order Kadomtsov-Petviashivilli equation |
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| LI Ning,LIU Xiqiang.New explicit solutions of generalized (3+1)-dimensional higher-order Kadomtsov-Petviashivilli equation[J].Chinese Journal of Quantum Electronics,2013,30(4):391-397. |
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| Authors: | LI Ning LIU Xiqiang |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | By applying the generalized algebraic method, the generalized (3+1)-dimensional Kadomtsov-Petviashivilli equation was studied. Some new explicit solutions of the generalized (3+1)-dimensional Kadomtsov-Petviashivilli equations were obtained, which included Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions and so on. |
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| Keywords: | nonlinear equation explicit solutions generalized algebraic method generalized Kadomtsov-Petviashivilli equation homogeneous balance principle |
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