| 变质量相对运动力学系统Nielsen方程的Noether守恒量 |
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| 引用本文： | 孙现亭,张美玲,张耀宇,韩月林,贾利群.变质量相对运动力学系统Nielsen方程的Noether守恒量[J].云南大学学报(自然科学版),2014,36(3):360-365. |
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| 作者姓名： | 孙现亭 张美玲 张耀宇 韩月林 贾利群 |
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| 作者单位： | 1.平顶山学院 电气信息工程学院,河南 平顶山 467000; |
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| 基金项目： | 国家自然科学基金(11142014);江苏省普通高校研究生科研创新计划项目(CXLX12_0720) |
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| 摘 要： | 研究变质量相对运动力学系统Nielsen方程的Noether守恒量.在群的无限小变换下,给出变质量相对运动力学系统Nielsen方程Noether对称性的定义及Noether对称性的判据;进而得到与变质量相对运动力学系统Nielsen方程Noether对称性相应的Noether守恒量.举例说明结果的应用.
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| 关 键 词： | 相对运动 变质量 Nielsen方程 Noether守恒量 |
| 收稿时间： | 2013-09-30 |
Noether conserved quantity for Nielsen equations in a variable mass holonomic dynamical system of the relative motion |
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| SUN Xian-ting,ZHANG Mei-ling,ZHANG Yao-yu,HAN Yue-lin,JIA Li-qun.Noether conserved quantity for Nielsen equations in a variable mass holonomic dynamical system of the relative motion[J].Journal of Yunnan University(Natural Sciences),2014,36(3):360-365. |
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| Authors: | SUN Xian-ting ZHANG Mei-ling ZHANG Yao-yu HAN Yue-lin JIA Li-qun |
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| Institution: | 1.School of Electric and Information Engineering,Pingdingshan University,Pingdingshan 467002,China; |
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| Abstract: | Noether conserved quantity for Nielsen equations in a variable mass dynamical system of the relative motion has been studied.The definition and criteria of Noether symmetry for the Nielsen equations in the system under the infinitesimal transformations of groups have been explored.Meanwhile the Noether conserved quantity corresponding to Noether symmetry for the Nielsen equations in the system has been obtained.Finally,an example has been given to illustrate the application of the results. |
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| Keywords: | relative motion variable mass Nielsen equations Noether conserved quantity |
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