q-Painlevé systems arising from q-KP hierarchy

Details q-Painlevé systems arising from q-KP hierarchy q-Painlevé systems arising from q-KP hierarchy

2001-12-28

arxiv.org/abs/nlin/0112045v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

A system of q-Painlev\'e type equations with multi-time variables t_1,...,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} \times
A^{(1)}_{N-1}. Its rational solutions are constructed in terms of q-Schur
functions.

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