A q-analogue of gl_3 hierarchy and q-Painleve VI
  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. 
Saburo Kakei and Tetsuya Kikuchi