8 citations · 15 across the 5 of their papers we have counts for
8 papers
Yang--Baxter maps of KdV, NLS and DNLS type on division rings
S. Konstantinou-Rizos, A. A. Nikitina
We construct nocommutative set-theoretical solutions to the Yang--Baxter equation related to the KdV, the NLS and the derivative NLS equations. In particular, we construct several…
Electric network and Hirota type -simplex maps
S. Konstantinou-Rizos
Bazhanov--Stroganov (4-simplex) maps are set-theoretical solutions to the 4-simplex equation, namely the fourth member of the family of -simplex equations, which are fundamental…
Birational solutions to the set-theoretical 4-simplex equation
S. Konstantinou-Rizos
The 4-simplex equation is a higher-dimensional analogue of Zamolodchikov's tetrahedron equation and the Yang--Baxter equation which are two of the most fundamental equations of mat…
A discrete Darboux-Lax scheme for integrable difference equations
Xenia Fisenko, Sotiris Konstantinou-Rizos, Pavlos Xenitidis
We propose a discrete Darboux-Lax scheme for deriving auto-Bäcklund transformations and constructing solutions to quad-graph equations that do not necessarily possess the 3D consis…
Integrable extensions of Adler's map via Grassmann algebras
P. Adamopoulou, S. Konstantinou-Rizos, G. Papamikos
We study certain extensions of the Adler map on Grassmann algebras of order . We consider a known Grassmann-extended Adler map, and assuming that we obtain a commut…
Entwining Yang-Baxter maps related to NLS type equations
S. Konstantinou-Rizos, G. Papamikos
We construct birational maps that satisfy the parametric set-theoretical Yang-Baxter equation and its entwining generalisation. For this purpose, we employ Darboux transformations…