| (2+1)维Potential Boiti-Leon-Manna-Pempinelli方程的对称、约化和精确解 |
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| 引用本文： | 刘勇,刘希强,王振立. (2+1)维Potential Boiti-Leon-Manna-Pempinelli方程的对称、约化和精确解[J]. 量子电子学报, 2014, 31(5): 533-540 |
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| 作者姓名： | 刘勇 刘希强 王振立 |
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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： | 利用经典李群法得到了(2+1)维Potential Boiti-Leon-Manna-Pempinelli (简称PBLMP )方程的对称、约化,通过解约化方程得到了该方程的一些精确解,包括有理函数解，双曲函数解，三角函数解, Jacobi椭圆函数解.
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| 关 键 词： | 经典李群法，PBLMP方程，对称、约化，精确解 |
| 收稿时间： | 2013-11-13 |
| 修稿时间： | 2014-09-05 |
Symmetries,reductions and exact solutions of (2+1) dimensional Potential Boiti-Leon-Manna-Pempinelli equation |
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| Liu Yong,Liu Xi-Qiang,Wang Zhen-Li. Symmetries,reductions and exact solutions of (2+1) dimensional Potential Boiti-Leon-Manna-Pempinelli equation[J]. Chinese Journal of Quantum Electronics, 2014, 31(5): 533-540 |
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| Authors: | Liu Yong Liu Xi-Qiang Wang Zhen-Li |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059， China |
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| Abstract: | Using the classical Lie group method, the symmetries and the reductions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli (PBLMP for short) equation are obtained. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions, hyperbolic functions, the trigonometric functions solution and Jacobi elliptic function solution. |
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| Keywords: | the classical Lie group method the PBLMP equation symmetry reduction exact solutions |
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