| Emden方程的Mei对称性、Lie对称性和Noether对称性 |
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| 引用本文： | 顾书龙,张宏彬. Emden方程的Mei对称性、Lie对称性和Noether对称性[J]. 物理学报, 2006, 55(11): 5594-5597 |
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| 作者姓名： | 顾书龙 张宏彬 |
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| 作者单位： | (1)巢湖学院物理系，巢湖 238000; (2)南京晓庄学院物理系，南京 210017;巢湖学院物理系，巢湖 238000 |
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| 摘 要： | 研究Emden动力学方程的形式不变性即Mei对称性，给出其定义和确定方程，研究Emden方程的Mei对称性与Noether对称性、Lie对称性之间的关系，寻求系统的守恒量，给出一个例子说明结果的应用.关键词：Emden动力学方程Mei对称性Noether对称性Lie对称性
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| 关 键 词： | Emden动力学方程 Mei对称性 Noether对称性 Lie对称性 |
| 文章编号： | 1000-3290/2006/55(11)/5594-04 |
| 收稿时间： | 2006-03-20 |
| 修稿时间： | 2006-03-202006-05-15 |
Mei symmetry, Noether symmetry and Lie symmetry of an Emden system |
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| Gu Shu-Long,Zhang Hong-Bin. Mei symmetry, Noether symmetry and Lie symmetry of an Emden system[J]. Acta Physica Sinica, 2006, 55(11): 5594-5597 |
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| Authors: | Gu Shu-Long Zhang Hong-Bin |
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| Affiliation: | 1. Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, China2. Department of Physics, Chaohu College, Chaohu 238000, China |
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| Abstract: | The Mei symmetry, i.e. the form invariance, of an Emden system is studied. The definition and determining equation of Mei symmetry in the Emden system are given. The relations between the Mei symmetry,the Lie symmetry and the Noether symmetry are studied, and the conserved quantities of the Emden system are obtained. An example is given to illustrate the application of the results. |
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| Keywords: | Emden system Mei symmetry Noether symmetry Lie symmetry |
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