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物理学报  2007 

Mei symmetries of a type of dynamical equations
一类动力学方程的Mei对称性

Keywords: dynamical equations,Mei symmetry,Noether symmetry,Lie symmetry
动力学方程
,Mei对称性,Noether对称性,Lie对称性

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Abstract:

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.

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