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物理学报  2006 

Lie symmetry and non-Noether conserved quantities of variable mass Birkhoffian system
变质量Birkhoff系统的Lie对称性和非Noether守恒量

Keywords: variable mass,Birkhoffian system,Lie symmetry,non-Nonther conserved quantity
变质量
,Birkhoff系统,Lie对称性,非Noether守恒量

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Abstract:

In this paper, the Lie symmetrical non-Noether conserved quantity of variable mass Birkhoffian system under the infinitesimal transformations is studied. First, variable mass Birkhoffian equations are established; second, Lie symmetry determining equations are given. Then the non-Noether conserved quantity is obtained. An example is given to illustrate the application of the result.

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