Lattice equations arising from discrete Painlevé systems. II. $A_4^{(1)}$ case (1603.09414v2)

Published 30 Mar 2016 in math-ph, math.MP, and nlin.SI

Abstract: In this paper, we construct two lattices from the $\tau$ functions of $A_4^{{(1)}$-surface} $q$-Painlev\'e equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the $A_4^{{(1)}$-surface} $q$-Painlev\'e equations.

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