A q-analogue of ĝl3 hierarchy and q-Painlevé VI
نویسندگان
چکیده
A q-analogue of the ĝl3 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-Painlevé VI equation proposed by Jimbo and Sakai. AMS classification scheme numbers: 37K10, 39A12, 39A13 Submitted to: J. Phys. A: Math. Gen. Dedicated to Professors Junkichi Satsuma and Basil Grammaticos on the occasion of the 60th birthday. ‡ Present Address: Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan. A q-analogue of ĝl3 hierarchy and q-Painlevé VI 2
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تاریخ انتشار 2006