Belinskii-Zakharov Formulation for Bianchi models and Painleve III   Equation
  We show that \a < 0, \b > 0, \g=\d=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, VI_0 and VII_0 models. 
Nenad Manojlovic and Aleksandar Mikovic