Conformal invariance and integration of first-order differential equations
He Guang(何光)a)† and Mei Feng-Xiang(梅凤翔)b)
a School of Aerospace Science and Engineering, Beijing Institute of Technology, Beijing 100081, China; b School of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract This paper studies a conformal invariance and an integration of first-order differential equations. It obtains the corresponding infinitesimal generators of conformal invariance by using the symmetry of the differential equations, and expresses the differential equations by the equations of a Birkhoff system or a generalized Birkhoff system. If the infinitesimal generators are those of a Noether symmetry, the conserved quantity can be obtained by using the Noether theory of the Birkhoff system or the generalized Birkhoff system.
Received: 11 November 2007
Revised: 23 November 2007
Accepted manuscript online:
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10572021 and
10772025) and the Doctoral Programme Foundation of Institution of
Higher Education of China (Grant No 20040007022).
Cite this article:
He Guang(何光) and Mei Feng-Xiang(梅凤翔) Conformal invariance and integration of first-order differential equations 2008 Chin. Phys. B 17 2764
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