A q-analogue of gl_3 hierarchy and q-Painleve VI
arXiv:nlin/0605052 · doi:10.1088/0305-4470/39/39/S11
Abstract
A q-analogue of the gl_3 Drinfel'd-Sokolov hierarchy is proposed as a reduction of the q-KP hierarchy. Applying a similarity reduction and a q-Laplace transformation to the hierarchy, one can obtain the q-Painleve VI equation proposed by Jimbo and Sakai.
14 pages, IOP style, to appear in J. Phys. A Special issue "One hundred years of Painleve VI"