33 citations · 48 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.SI2020★ 15 cited
Yang--Baxter maps, Darboux transformations, and linear approximations of refactorisation problems
V. M. Buchstaber, S. Igonin, S. Konstantinou-Rizos +1
Yang--Baxter maps (YB maps) are set-theoretical solutions to the quantum Yang--Baxter equation. For a set , where is a vector space and is regarded as a space…
nlin.SI2015★ 33 cited
Reduction groups and related integrable difference systems of NLS type
S. Konstantinou-Rizos, A. V. Mikhailov, P. Xenitidis
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinger type equations. We consider all possible finite reduction groups and construct…