Unified approach to transformations of Painleve equations

Abstract

In this thesis, we iind the explicit form of some transformations associated with the second, third, fourth and fifth Painleve equations. These transformations are obtained by using the Schlesinger transformations associated with the linear system of equations of Painleve eciuations.The application of such transformations enables us to generate the new solutions of the given Painleve equation with different values of parameters, from the known solutions.