53 citations · 187 across the 29 of their papers we have counts for
3 papers · 1 filter
Duality for discrete integrable systems II
Peter H. van der Kamp, G. R. W Quispel, Da-jun Zhang
We generalise the concept of duality to lattice equations. We derive a novel 3 dimensional lattice equation, which is dual to the lattice AKP equation. Reductions of this equation…
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…
QRT maps and related Laurent systems
K. Hamad, A. N. W. Hone, P. H. van der Kamp +1
In recent work it was shown how recursive factorisation of certain QRT maps leads to Somos-4 and Somos-5 recurrences with periodic coefficients, and to a fifth-order recurrence wit…