Lattice equations arising from discrete Painlev\'e systems. II. $A_4^{(1)}$ case

Nalini Joshi; Nobutaka Nakazono; Yang Shi

arxiv: 1603.09414 · v2 · pith:5DCCAAJZnew · submitted 2016-03-30 · 🧮 math-ph · math.MP· nlin.SI

Lattice equations arising from discrete Painlev\'e systems. II. A₄⁽¹⁾ case

Nalini Joshi , Nobutaka Nakazono , Yang Shi This is my paper

classification 🧮 math-ph math.MPnlin.SI

keywords equationspainlevsurfaceappeararisingcaseconstructdiscrete

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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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Lattice equations arising from discrete Painlev\'e systems. II. A₄⁽¹⁾ case

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