%0 Journal Article
%T Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
%A Yulia Bibilo
%A Galina Filipuk
%J Physics
%D 2015
%I arXiv
%R 10.3842/SIGMA.2015.023
%X The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In this paper we construct a new example of the non-Schlesinger isomonodromic deformation for a resonant Fuchsian system of order 5 by using middle convolution for a resonant Fuchsian system of order 2. Moreover, it is known that middle convolution is an operation that preserves Schlesinger's deformation equations for non-resonant Fuchsian systems. In this paper we show that Bolibruch's non-Schlesinger deformations of resonant Fuchsian systems are, in general, not preserved by middle convolution.
%U http://arxiv.org/abs/1503.03959v1