完整系统Tzénoff方程Lie对称性的共形不变性与守恒量  

Conformal invariance and conserved quantity of Lie symmetry for Tzénoff equations in holonomic systems

作　　者：郑世旺[1] 赵永红[1] 

机构地区：[1]商丘师范学院物理与电气信息学院,河南商丘476000

出　　处：《商丘师范学院学报》2015年第6期39-43,共5页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(11372169)

摘　　要：通过完整系统的Tzénoff方程,给出了该系统Tzénoff方程的Lie对称性及其共形不变性的定义,研究了该系统Tzénoff方程Lie对称性的共形不变性及其守恒量,给出了这种守恒量的函数表达式和导出这种守恒量的判据方程,最后给出一个应用实例.By the Tzénoff equations of holonomic systems,the definitions of conformal invariance and conserved quantity of Lie symmetry for Tzénoff equations in holonomic systems are given. Conformal invariance and conserved quantity of Lie symmetry for Tzénoff equations in the systems are studied. The function expressions of conserved quantities and the criterion equations which deduce the conserved quantities are obtained. Finally,an example is given to illustrate the application of the result.

关 键 词：完整系统 TZÉNOFF方程 LIE对称性 共形不变性 守恒量 

分 类 号：O320[理学—一般力学与力学基础]