变质量完整系统Tzénoff方程的Lie对称性与其导出的守恒量  

Lie symmetries and their conserved quantities of Tzénoff equations for the vairable mass holonomic system

作　　者：郑世旺[1] 王建波[1] 解加芳[2] 

机构地区：[1]商丘师范学院物理与信息工程系,河南商丘476000 [2]北方工业大学理学院,北京100144

出　　处：《商丘师范学院学报》2011年第12期17-21,共5页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(109721271;1102001)

摘　　要：研究了变质量完整力学系统Tzénoff方程的Lie对称性及其所导出的守恒量,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,最后举例说明了研究结果的应用.Lie symmetries of Tzénoff equations for the variable mass holonomic system and conserved quantities derived from that are researched.The function expressions of conserved quantities and the criterion equations which deduce these conserved quantities are presented.Finally,the application of the new result is showed by a practical example.

关 键 词：变质量完整系统 TZÉNOFF方程 LIE对称 守恒量 

分 类 号：O320[理学—一般力学与力学基础]