| (2+1)维Boiti-Leon-Manna-Pempinelli方程的对称、精确解及守恒律 |
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| 引用本文： | 刘娜,刘希强. (2+1)维Boiti-Leon-Manna-Pempinelli方程的对称、精确解及守恒律[J]. 量子电子学报, 2008, 25(5): 546-552 |
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| 作者姓名： | 刘娜 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： | 利用李群分析方法,得到了(2 1)维Boiti-Leon-Manna-Pempinelli(BLMP)方程的对称、相似约化和新的精确解,包括有理函数解、双曲函数解、雅克比椭圆函数解和三角周期解.同时找到了此方程的无穷多守恒律.
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| 关 键 词： | 非线性方程 (2 1)维BLMP方程 李群分析方法 对称 精确解 守恒律 |
| 收稿时间： | 2007-12-05 |
Symmetries,new exact solutions and conservation laws of (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation |
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| LIU Na,LIU Xi-qiang. Symmetries,new exact solutions and conservation laws of (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation[J]. Chinese Journal of Quantum Electronics, 2008, 25(5): 546-552 |
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| Authors: | LIU Na LIU Xi-qiang |
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| Affiliation: | LIU Na LIU Xi-qiang (School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | Symmetries similarity reductions and new exact solutions to the (2+1)-dimensional Boiti-Leon- Manna-Pempinelli (BLMP) equation are obtained by using Lie group analysis method,including rational solutions,hyperbolic function solutions,Jacobi elliptic function solutions and triangular periodic solutions The infinte conservation laws of the (2+1)-dimensional BLMP equation are found. |
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| Keywords: | nonlinear equation (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation Lie group analysis method symmetries exact solutions conservation laws |
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