14 citations · 14 across the 1 of their papers we have counts for
2 papers
nlin.SI2017★ 14 cited
On Reductions of the Hirota-Miwa Equation
Andrew N. W. Hone, Theodoros E. Kouloukas, Chloe Ward
The Hirota-Miwa equation (also known as the discrete KP equation, or the octahedron recurrence) is a bilinear partial difference equation in three independent variables. It is inte…
math.CO2016
On the general solution of the Heideman-Hogan family of recurrences
Andrew N. W. Hone, Chloe Ward
We consider a family of nonlinear rational recurrences of odd order which was introduced by Heideman and Hogan. All of these recurrences have the Laurent property, implying that fo…