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

Pengyu Zhang | Zendy; Fang Jian-Hui | Zendy

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

Author(s) -

Pengyu Zhang,

Fang Jian-Hui

Publication year - 2006

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.55.3813

Subject(s) - noether's theorem , symmetry (geometry) , conserved quantity , physics , mathematical physics , variable (mathematics) , classical mechanics , symmetry group , lagrangian , mathematics , mathematical analysis , geometry

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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