A q-analogue of gl₃ hierarchy and q-Painleve VI
classification
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keywords
hierarchyproposedq-analogueq-painlevereductionapplyingd-sokolovdrinfel
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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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