Belinskii-Zakharov formulation for Bianchi models and Painleve III equation

Authors
Manojlovic, N Mikovic, A
Citation
N. Manojlovic et A. Mikovic, Belinskii-Zakharov formulation for Bianchi models and Painleve III equation, J MATH PHYS, 41(7), 2000, pp. 4777-4782
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
7
Year of publication
2000
Pages
4777 - 4782
Database
ISI
SICI code
0022-2488(200007)41:7<4777:BFFBMA>2.0.ZU;2-O
Abstract
We show that alpha < 0, beta > 0, gamma=delta=0 Painleve III equation arise s as a zero-curvature condition in the Belinskii-Zakharov inverse scatterin g formulation for Bianchi cosmological models. For special values of the pa rameters this Painleve III equation becomes the dynamical equation for Bian chi I, II, VI0, and VII0 models. (C) 2000 American Institute of Physics. [S 0022-2488(00)04207-9].