USE OF LIE SYMMETRIES AND THE PAINLEVÉ ANALYSIS IN COSMOLOGY
作者:
P.G.L. Leach,
K.S. Govinder,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1996)
卷期:
Volume 19,
issue 1-2
页码: 163-182
ISSN:1607-3606
年代: 1996
DOI:10.1080/16073606.1996.9631831
出版商: Taylor & Francis Group
关键词: 34A05;58F07;83C15
数据来源: Taylor
摘要:
Two techniques for the analysis of differential equations, the Lie method of extended groups and the Painlevé analysis, are reviewed. The implications for integrability in the case of the existence of symmetries in the former or the possession of the Painlevé property in the latter are explored. By way of an example an equation which arises in shear-free flow of a spherically symmetric perfect fluid with conformal symmetry in general relativity is given an extensive treatment with both techniques.
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