Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation
Nenad Manojlovic, Aleksandar Mikovic
Abstract
We show that < 0, > 0, ==0 Painleve III equation arises as a zero-curvature condition in the Belinskii-Zakharov inverse-scattering formulation for Bianchi cosmological models. For special values of the parameters this Painleve III equation becomes the dynamical equation for Bianchi I, II, VI0 and VII0 models.
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