4 citations · 4 across the 3 of their papers we have counts for
3 papers
nlin.SI2024
On the solutions of the local Zamolodchikov tetrahedron equation
M. Chirkov, S. Konstantinou-Rizos
We study the solutions of the local Zamolodhcikov tetrahedron equation in the form of correspondences derived by matrices. We present all the associated generators of 4…
nlin.SI2024
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…
nlin.SI2014★ 4 cited
Darboux transformations, discrete integrable systems and related Yang-Baxter maps
Sotiris Konstantinou-Rizos
In this thesis we study the Darboux transformations related to particular Lax operators of NLS type which are invariant under the action of the so-called reduction group. Specifica…