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

Wang Chuandong | Zendy; Shixing Liu | Zendy; Mei Feng-Xiang | Zendy

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

Author(s) -

Wang Chuandong,

Shixing Liu,

Mei Feng-Xiang

Publication year - 2010

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.59.8322

Subject(s) - noether's theorem , infinitesimal , conserved quantity , mathematical physics , transformation (genetics) , mathematics , invariance principle , infinitesimal transformation , infinity , mathematical analysis , lagrangian , philosophy , biochemistry , chemistry , linguistics , gene

The generalized Pfaff-Birkhoff-dAlembert 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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