变质量相对运动力学系统Nielsen方程的Noether守恒量  

Noether conserved quantity for Nielsen equations in a variable mass holonomic dynamical system of the relative motion

作　　者：孙现亭[1] 张美玲[2] 张耀宇[1] 韩月林[3] 贾利群[3] 

机构地区：[1]平顶山学院电气信息工程学院,河南平顶山467000 [2]常州市第一中学数学教研组,江苏常州213003 [3]江南大学理学院,江苏无锡214122

出　　处：《云南大学学报（自然科学版）》2014年第3期360-365,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：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)

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.Noether conserved quantity for Nielsen equations in a variable mass dynamical system of the rela- tive motion has been studied. The definition and criteria of Noether symmetry for the Nielsen equations in the sys- tem under the infinitesimal transformations of groups have been explored. Meanwhile the Noether conserved quan- tity corresponding to Noether symmetry for the Nielsen equations in the system has been obtained. Finally, an ex- ample has been given to illustrate the application of the results.

关 键 词：相对运动 变质量 NIELSEN方程 NOETHER守恒量 

分 类 号：O316[理学—一般力学与力学基础]