On the Transformations of the Sixth Painlevé Equation

Valery I Gromak Department of differential equations, Belarusian State University, 4 Skorina Ave., 220050, Minsk, Belarus E-mail: [email protected]@bsu.by

Galina Filipuk Department of differential equations, Belarusian State University, 4 Skorina Ave., 220050, Minsk, Belarus E-mail: [email protected]@bsu.by

Abstract

In this paper we investigate relations between different transformations of the solutions of the sixth Painlevé equation. We obtain nonlinear superposition formulas linking solutions by means of the Bäcklund transformation. Algebraic solutions are also studied with the help of the Bäcklund transformation.

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On the Transformations of the Sixth Painlevé Equation

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