q-Painlev\'e systems arising from q-KP hierarchy
Abstract
A system of q-Painlev\'e type equations with multi-time variables t1,...,tM 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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