Self-dual SU(2) invariant Einstein metrics and modular dependence of theta-functions

We simplify Hitchin's description of SU(2)-invariant self-dual Einstein metrics, making use of the tau-function of related four-pole Schlesinger system.Comment: A wrong sign in the formula for W_1 is corrected; we thank Owen Dearricott who pointed out this mistake in the original version of the pape

Unified approach to transformations of Painleve equations

Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent Univ., 1993.Thesis (Master's) -- Bilkent University, 1993.Includes bibliographical references leaves 36-37In 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.Chahardehi, Ali Reza ModaressiM.S

Properties of a continuous SU(1,1) spin model

A method for solving a continuous isotropic Heisenberg spin model endowed with SU(1, 1) symmetry is presented. Exact analytical solutions are obtained together with the hamiltonian and the magnetization under periodic boundary conditions for the spin fields

On a special function related to a class of solutions of certain nonlinear wave equations

REND. SEM. MAT. UNIVERS. POLITECN. TORIN