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.