13 citations · 36 across the 4 of their papers we have counts for
4 papers
Lattice equations arising from discrete Painlevé systems. II. case
Nalini Joshi, Nobutaka Nakazono, Yang Shi
In this paper, we construct two lattices from the functions of -surface -Painlevé equations, on which quad-equations of ABS type appear. Moreover, using the reduc…
Geometric Reductions of ABS equations on an -cube to discrete Painlevé systems
Nalini Joshi, Nobutaka Nakazono, Yang Shi
In this paper, we show how to relate -dimensional cubes on which ABS equations hold to the symmetry groups of discrete Painlevé equations. We here focus on the reduction from th…
Lattice equations arising from discrete Painlevé systems (I): and cases
Nalini Joshi, Nobutaka Nakazono, Yang Shi
We introduce the concept of -lattice, constructed from functions of Painlevé systems, on which quad-equations of ABS type appear. In particular, we consider the -…
A systematic approach to reductions of type-Q ABS equations
Mike Hay, Phil Howes, Nobutaka Nakazono +1
We present a class of reductions of Möbius type for the lattice equations known as Q1, Q2, and Q3 from the ABS list. The deautonomised form of one particular reduction of Q3 is sho…