| Symmetry Groups and New Exact Solutions of （2＋1）-Dimensional Dispersive Long-Wave Equations |
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| 引用本文： | TIAN Ying-Hui,CHEN Han-Lin,LIU Xi-Qiang. Symmetry Groups and New Exact Solutions of （2＋1）-Dimensional Dispersive Long-Wave Equations[J]. 理论物理通讯, 2009, 51(5): 781-784 |
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| 作者姓名： | TIAN Ying-Hui CHEN Han-Lin LIU Xi-Qiang |
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| 作者单位： | [1]School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, China [2]School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
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| 基金项目： | The project supported by the Natural Science Foundation of Shandong Province of China under Grant Nos. Q2005A01 |
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| 摘 要： | Using the modified CK＇s direct method, we derive a symmetry group theorem of （2＋1）-dimensional dispersive long-wave equations. Based upon the theorem, Lie point symmetry groups and new exact solutions of （2＋1）- dimensional dispersive long-wave equations are obtained.
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| 关 键 词： | 色散长波方程 对称群 精确解 直接方法 定理 李群 |
| 收稿时间： | 2008-07-24 |
Symmetry Groups and New Exact Solutions of (2+1)-Dimensional Dispersive Long-Wave Equations |
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| TIAN Ying-Hui CHEN Han-Lin LIU Xi-Qiang. Symmetry Groups and New Exact Solutions of (2+1)-Dimensional Dispersive Long-Wave Equations[J]. Communications in Theoretical Physics, 2009, 51(5): 781-784 |
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| Authors: | TIAN Ying-Hui CHEN Han-Lin LIU Xi-Qiang |
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| Affiliation: | 1.School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, China;2.School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | Using the modified CK's direct method, we derive a symmetry group theorem of (2+1)-dimensional dispersive long-wave equations. Based upon the theorem, Lie point symmetry groups and new exact solutions of (2+1)-dimensional dispersive long-wave equations are obtained. |
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| Keywords: | （2＋1）-dimensional dispersive long-wave equations exact solution modified CK＇s direct method symmetry groups |
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