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Lax pairs of discrete Painlevé equations: $(A_2+A_1)^{(1)}$ case

Published 16 Mar 2015 in math-ph, math.MP, and nlin.SI | (1503.04515v5)

Abstract: In this paper, we provide a comprehensive method for constructing Lax pairs of discrete Painlev\'e equations by using a reduced hypercube structure. In particular, we consider the $A_5{(1)}$-surface $q$-Painlev\'e system which has the affine Weyl group symmetry of type $(A_2+A_1){(1)}$. Two new Lax pairs are found.

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