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We show that \a < 0, \b > 0, \g=\d=0 Painleve III equation arises as azero-curvature condition in the Belinskii-Zakharov inverse-scatteringformulation for Bianchi cosmological models. For special values of theparameters this Painleve III equation becomes the dynamical equation forBianchi I, II, VI_0 and VII_0 models.Comment: 12 page

Belinskii–Zakharov formulation for Bianchi models and Painlevé III equation