单面完整约束系统Tzénoff方程Mei对称性的共形不变性与守恒量  被引量:2

On conformal invariance and conserved quantity of Mei symmetry for Tzénoff equation in unilateral holonomic constraint system

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作  者:郑世旺 

机构地区:[1]商丘师范学院电子电气工程学院,河南商丘476000

出  处:《云南大学学报(自然科学版)》2018年第1期74-81,共8页Journal of Yunnan University(Natural Sciences Edition)

基  金:国家自然科学基金(11372169)

摘  要:研究了单面完整约束系统Tzénoff方程Mei对称性的共形不变性及其守恒量,在给出Mei对称性定义和判据方程的基础上,进一步给出了系统Mei对称性共形不变性的定义和判据方程,并分析了二者的关系.探究了单面完整约束系统Tzénoff方程Mei对称性共形不变性存在守恒量的条件,导出了存在守恒量的结构方程及其守恒量的具体形式.Conformal invariance and conserved quantity of Mei symmetry for Tz6noff equation in unilateral holonomic constraint system have been studied in the paper. First, the definition and judgment equation of Mei symmetry have been presented.The definition and judgment equation of Mei symmetry conforrnal invariance have been further explored and the relation between them has been analyzed.The conditions of conserved quantity for Tzenoff equation in unilateral holonomic constraint system have been researched as well.Finally, the condition equation and specific form of conserved quantity have been deduced.

关 键 词:单面完整约束 TZÉNOFF方程 MEI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]

 

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