30 citations · 213 across the 19 of their papers we have counts for
3 papers · 1 filter
Some integrable maps and their Hirota bilinear forms
A. N. W. Hone, T. E. Kouloukas, G. R. W. Quispel
We introduce a two-parameter family of birational maps, which reduces to a family previously found by Demskoi, Tran, van der Kamp and Quispel (DTKQ) when one of the parameters is s…
Relativistic Collisions as Yang-Baxter maps
Theodoros E. Kouloukas
We prove that one-dimensional elastic relativistic collisions satisfy the set-theoretical Yang-Baxter equation. The corresponding collision maps are symplectic and admit a Lax repr…
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…