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中国物理学会期刊

变质量Birkhoff系统的Lie对称性和非Noether守恒量

CSTR: 32037.14.aps.55.3813

Lie symmetry and non-Noether conserved quantities of variable mass Birkhoffian system

CSTR: 32037.14.aps.55.3813
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  • 采用嵌入质量法建立了变质量系统的Birkhoff方程.根据Lie对称性理论给出了变质量Birkhoff系统的Lie对称性确定方程,得到了系统的Lie对称直接导致非Noether守恒量的存在条件和形成.举例说明结果的应用.

     

    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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