42 citations · 213 across the 25 of their papers we have counts for
6 papers · 1 filter
Tetrahedron maps and symmetries of three dimensional integrable discrete equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
A relationship between the tetrahedron equation for maps and the consistency property of integrable discrete equations on is investigated. Our approach is a generali…
Integrable multi-component difference systems of equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
We present two lists of multi-component systems of integrable difference equations defined on the edges of a graph. The integrability of these systems is manifested…
Systems of difference equations on a vector valued function that admit 3D space of scalar potentials
Pavlos Kassotakis, Maciej Nieszporski
For some involutive maps we find all invariants with separated variables. We investigate a link of…
Re-factorising a QRT map
Nalini Joshi, Pavlos Kassotakis
A QRT map is the composition of two involutions on a biquadratic curve: one switching the -coordinates of two intersection points with a given horizontal line, and the other swi…
Integrable reductions of the dressing chain
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
In this paper we construct a family of integrable reductions of the dressing chain, described in its Lotka-Volterra form. For each with we obtai…
Invariants in Separated Variables: Yang-Baxter, Entwining and Transfer Maps
Pavlos Kassotakis
We present the explicit form of a family of Liouville integrable maps in 3 variables, the so-called triad family of maps and we propose a multi-field generalisation of the latter.…