Higher-order generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlevé equations (2304.03467v5)

Published 7 Apr 2023 in nlin.SI, math-ph, and math.MP

Abstract: In this paper, we construct higher-order generalizations of the $A_6^{(1)}$- and $A_4^{{(1)}$-surface} type $q$-Painlev\'e 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.

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Authors (1)

Nobutaka Nakazono

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