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广义Pfaff-Birkhoff-d’Alembert原理与广义Birkhoff系统的形式不变性

物理学报, 2010, 59(12): 8322-8325.
DOI: 10.7498/aps.59.8322
CSTR: 32037.14.aps.59.8322

Generalized Pfaff-Birkhoff-d’Alembert principle and form invariance of generalized Birkhoff’s equations

Acta Phys. Sin., 2010, 59(12): 8322-8325.
DOI: 10.7498/aps.59.8322
CSTR: 32037.14.aps.59.8322
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  • 摘要

    研究了广义Pfaff-Birkhoff-dAlembert原理和广义Birkhoff系统在群的无限小变换下的形式不变性质.给出了形式不变性的判据,并由形式不变性导出Noether守恒量和新型守恒量.

     

    Abstract

    The generalized Pfaff-Birkhoff-dAlembert principle and the form invariance of the generalized Birkhoff s equations under the infinitesimal transformation of group are studied. The criterion of the form invariance is given and the Noether conserved quantity and a new conserved quantity are obtained by the invariance.

     

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