| ZK-MEW方程的对称约化、精确解及守恒律 |
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| 引用本文： | 辛祥鹏,张琳琳.ZK-MEW方程的对称约化、精确解及守恒律[J].井冈山学院学报,2010,31(4). |
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| 作者姓名： | 辛祥鹏 张琳琳 |
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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： | 应用经典李群方法,得到了ZK-MEW方程的对称约化,群不变解以及新的精确解,包括雅可比椭圆函数解,双曲函数解及三角函数解等.最后得到了此方程的守恒律.
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| 关 键 词： | ZK-MEW方程 对称 相似约化 精确解 守恒律 |
SYMMETRY REDUCTION, EXACT SOLUTIONS AND THE CONSERVATION LAWS OF ZK-MEW EQUATION |
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| XIN Xiang-peng,ZHANG Lin-lin.SYMMETRY REDUCTION, EXACT SOLUTIONS AND THE CONSERVATION LAWS OF ZK-MEW EQUATION[J].Journal of Jinggangshan University,2010,31(4). |
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| Authors: | XIN Xiang-peng ZHANG Lin-lin |
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| Abstract: | Using the classical Lie method, we obtain symmetry reduction, group invariant solution and some new exact solutions of ZK-MEW equation, which include Jacobi elliptic function, hyperbolic function, trigonometric function solutions and so on. Then we give the conservation laws of ZK-MEW equation. |
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| Keywords: | ZK-MEW equation symmetry symmetry reduction exact solution the conservation laws |
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