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arxiv: 1710.03998 · v1 · pith:E2642XQPnew · submitted 2017-10-11 · 🌊 nlin.SI · math-ph· math.CA· math.MP

Variations of q-Garnier system

classification 🌊 nlin.SI math-phmath.CAmath.MP
keywords systemgarniercorrespondingdirectionsdiscretedualityevolutionshigher
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We study several variants of q-Garnier system corresponding to various directions of discrete time evolutions. We also investigate a relation between the $q$-Garnier system and Suzuki's higher order $q$-Painlev/'e system by using a duality of the $q$-KP system.

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