一类动力学方程的Mei对称性  

Mei symmetries of a type of dynamical equations

作　　者：葛伟宽[1] 

机构地区：[1]湖州师范学院物理系,湖州313000

出　　处：《物理学报》2007年第1期1-4,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10272021)资助的课题~~

摘　　要：研究一类动力学方程的Mei对称性的定义和判据,由Mei对称性通过Noether对称性可找到Noether守恒量.由Mei对称性通过Lie对称性可找到Hojman守恒量.同时,也可找到一类新型守恒量.The definition and the criterion of a Mei symmetry for a type of dynamical equations are presented. The Noether conserved quantity can be deduced when the Mei symmetry is a Noether symmetry . The Hojman conserved quantity can be obtained if the Mei symmetry is a Lie symmetry. In addition, a new conserved quantity can be found by the Mei symmetry.

关 键 词：动力学方程 MEI对称性 NOETHER对称性 LIE对称性 

分 类 号：O175[理学—数学]