| A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of （1＋1）-Dimensional Nonlinear Systems |
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| 引用本文： | 姚若侠,;楼森岳.A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of （1＋1）-Dimensional Nonlinear Systems[J].中国物理快报,2008,25(6):1927-1930. |
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| 作者姓名： | 姚若侠 ;楼森岳 |
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| 作者单位： | [1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200062; [2]School of Computer Science, Shaanxi Normal University, Xi'an 710062; [3]Department of Physics, Ningbo University, Ningbo 315211 |
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| 基金项目： | Supported by the National Natural Science Foundations of China under Grant Nos 10735030, 10475055, and 90503006, the National Basic Research Programme of China under Grant No 2007CB814800, and PCSIRT （IRT0734）, the Research Fund of Postdoctoral of China under Grant No 20070410727, and the Research Found of SNNU. |
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| 摘 要： | Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the ‘Enter＇ key. Abundant （1＋1）-dimensional nonlinear mathematical physical systems are analysed effectively by using a Maple package LieSYMGRP proposed by us.
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| 关 键 词： | (1+1)维非线性系统 计算机代数学 李对称群 对称简化 |
| 收稿时间： | 2007-12-20 |
A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of (1+1)-Dimensional Nonlinear Systems |
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| YAO Ruo-Xia,LOU Sen-Yue.A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of (1+1)-Dimensional Nonlinear Systems[J].Chinese Physics Letters,2008,25(6):1927-1930. |
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| Authors: | YAO Ruo-Xia LOU Sen-Yue |
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| Institution: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200062School of Computer Science, Shaanxi Normal University, Xi'an 710062Department of Physics, Ningbo University, Ningbo 315211 |
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| Abstract: | Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the `Enter' key. Abundant (1+1)-dimensional nonlinear mathematical physical systems areanalysed effectively by using a Maple package LieSYMGRP proposed by us. |
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| Keywords: | 02 20 -a 02 30 Jr 02 70 -c |
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