Abstract
Abstract
In this paper, we construct higher-order generalizations of the
A
6
(
1
)
- and
A
4
(
1
)
-surface type q-Painlevé equations from the system of partial difference equations with the consistency around a cube property by periodic reduction. Moreover, we also show their extended affine Weyl group symmetries and Lax pairs.
Funder
Japan Society for the Promotion of Science
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics