Belinskii-Zakharov formulation for Bianchi models and Painlevé III equation (Q2738080)

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scientific article; zbMATH DE number 1639258
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Belinskii-Zakharov formulation for Bianchi models and Painlevé III equation
scientific article; zbMATH DE number 1639258

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    30 August 2001
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    Bianchi cosmology
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    Painlevé III equation
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    Belinskii-Zakharov formulation for Bianchi models and Painlevé III equation (English)
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    A special case of Bianchi cosmological models is discussed. The Painlevé III equations arise as a zero curvature condition in the Belinskii-Zakharov inverse scattering formulation of the Bianchi cosmological models. For special values of the parameters they become the dynamical equation for Bianchi I, II, \(\text{VI}_0\), \(\text{VII}_0\) models.
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