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

Saburo Kakei·Tetsuya Kikuchi
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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.

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Saburo Kakei, Tetsuya Kikuchi. 2006-05-30. A q-analogue of gl_3 hierarchy and q-Painleve VI. https://doi.org/10.1088/0305-4470%2F39%2F39%2Fs11

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