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一类动力学方程的Mei对称性

物理学报, 2007, 56(1): 1-4.
DOI: 10.7498/aps.56.1
CSTR: 32037.14.aps.56.1

Mei symmetries of a type of dynamical equations

Acta Phys. Sin., 2007, 56(1): 1-4.
DOI: 10.7498/aps.56.1
CSTR: 32037.14.aps.56.1
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  • 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.

     

    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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