| (2+1)维Boussinesq方程的对称、约化、群不变解及守恒律 |
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| 引用本文： | 董仲周,王玲.(2+1)维Boussinesq方程的对称、约化、群不变解及守恒律[J].聊城大学学报(自然科学版),2007,20(1):21-24. |
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| 作者姓名： | 董仲周 王玲 |
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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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| 基金项目： | 山东省自然科学基金资助课题（Q2005A01）致谢 衷心感谢聊城大学刘希强教授的建议和帮助. |
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| 摘 要： | 通过利用李群方法,得到了（2＋1）维Boussinesq方程的对称、约化及群不变解,推广了文献3]的关于此方程精确解的结果.由于对称和守恒律之间有密切的关系,同时找到了此方程的无穷多守恒律.
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| 关 键 词： | 李群方法 （2＋1）维Boussinesq方程 对称 群不变解 守恒律 |
| 文章编号： | 1672-6634（2007）01-0021-04 |
| 修稿时间： | 2006-11-16 |
Symmetries,Reductions, Group invariant Solutions and Conservation Laws of (2+1)-dimensional Boussinesq Equation |
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| DONG Zhong-zhou,WANG Ling.Symmetries,Reductions, Group invariant Solutions and Conservation Laws of (2+1)-dimensional Boussinesq Equation[J].Journal of Liaocheng University:Natural Science Edition,2007,20(1):21-24. |
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| Authors: | DONG Zhong-zhou WANG Ling |
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| Institution: | School of Mathematics Sciences ,Liaocheng University, Liaocheng 252059 ,China |
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| Abstract: | In this paper,we obtain symmetries,symmetry reductions and group invariant solutions to the (2+1)-dimensional Boussinesq equation by using the Lie group method.For exact solutions of the equation,we generalize the corresponding results of the papers 3].As for the close relationship between symmetries and conservation laws,we also find infinite conservation laws of the (2+1)-dimensional Boussinesq equation. |
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| Keywords: | Lie group method (2+1)-dimensional Boussinesq equation symmetries Lie algebra conservation laws group invariant solutions |
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