q-Painlevé systems arising from q-KP hierarchy

Abstract

A system of q-Painlevé 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.

arXiv comment10 pages

References in corpus (2)

• A study on the fourth q-Painlevé equation
• On the Rational Solutions of q-Painlevé V Equation

Cited by in corpus (7)

• Non-commutative rational Yang-Baxter maps
• Non-commutative lattice modified Gel'fand-Dikii systems
• Geometric Reductions of ABS equations on an $n$-cube to discrete Painlevé systems
• Affine Weyl group approach to Painlevé equations
• A q-analogue of gl_3 hierarchy and q-Painleve VI
• Discretisations of constrained KP hierarchies
• Non-commutative q-Painleve VI equation