q-Painlevé systems arising from q-KP hierarchy

2001/12/28 by Kenji Kajiwara, Kajiwara, Kenji, Masatoshi Noumi +3
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0112045

10 pages

arxiv created 2001/12/28 · arxiv updated 2009/11/30

Abstract

A system of q-Painlevé type equations with multi-time variables t₁,...,t_M is obtained as a similarity reduction of the N-reduced q-KP hierarchy. This system has affine Weyl group symmetry of type A⁽¹⁾_M-1 × A⁽¹⁾_N-1. Its rational solutions are constructed in terms of q-Schur functions.

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