A q-analogue of gl_3 hierarchy and q-Painleve VI

Details A q-analogue of gl_3 hierarchy and q-Painleve VI A q-analogue of gl_3 hierarchy and q-Painleve VI

2006-05-30

arxiv.org/abs/nlin/0605052v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, IOP style, to appear in J. Phys. A Special issue "One hundred years of Painleve VI"

Scientific paper

10.1088/0305-4470/39/39/S11

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.

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