107 citations · 229 across the 9 of their papers we have counts for
9 papers
On quadrirational pentagon maps
Charalampos Evripidou, Pavlos Kassotakis, Anastasios Tongas
We classify rational solutions of a specific type of the set theoretical version of the pentagon equation. That is, we find all quadrirational maps $R:(x,y)\mapsto (u(x,y),v(x,y)),…
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…
Yang-Baxter maps associated to elliptic curves
Vassilios G. Papageorgiou, Anastasios G. Tongas
We present Yang-Baxter maps associated to elliptic curves. They are related to discrete versions of the Krichever-Novikov and the Landau-Lifshits equations. A lifting of scalar int…
Affine linear and D4 symmetric lattice equations : symmetry analysis and reductions
A. Tongas, D. Tsoubelis, P. Xenitidis
We consider lattice equations on ${\mathds{Z}}^2$ which are autonomous, affine linear and possess the symmetries of the square. Some basic properties of equations of this type are…
Yang-Baxter maps and multi-field integrable lattice equations
V. G. Papageorgiou, A. G. Tongas
A variety of Yang-Baxter maps are obtained from integrable multi-field equations on quad-graphs. A systematic framework for investigating this connection relies on the symmetry gro…