| (2+1)维Gardner方程的对称、约化及其群不变解 |
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| 引用本文： | 许斌,刘希强.(2+1)维Gardner方程的对称、约化及其群不变解[J].量子电子学报,2009,26(5):531-536. |
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| 作者姓名： | 许斌 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： | 利用经典李群方法,得到了一类(2+1)维Gardner方程的显式解,推广了唐和陈勇的某些结果,并且得到了该方程的对称、约化及其群不变解.
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| 关 键 词： | 李群方法 Gardner方程 对称 群不变解 |
| 收稿时间： | 2008/9/19 |
Symmetry, reduction and group invariant solution of (2+1)-dimensional Gardner equation |
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| XU Bin,LIU Xi-qiang.Symmetry, reduction and group invariant solution of (2+1)-dimensional Gardner equation[J].Chinese Journal of Quantum Electronics,2009,26(5):531-536. |
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| Authors: | XU Bin LIU Xi-qiang |
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| Affiliation: | School of Mathematical Science,Liao cheng University,Liaocheng,252059, China |
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| Abstract: | By using the classical Lie group method, explicit solutions to the (2+1) dimensional Gardner equation are obtained, which generalize some corresponding results obtained by Tang and Chen, and symmetries, symmetry reductions and group invariant solutions to the equation are presented. |
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| Keywords: | nonlinear equation Lie group method Gardner equation symmetries group invariant solutions |
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