q-Painlevé systems arising from q-KP hierarchy

الأصل · EN

A system of q-Painlevé 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.