36 citations
- University of LeedsGB3 papers
- Bulgarian Academy of SciencesBG1 paper
- Hochschule BielefeldDE1 paper
- Institute for Nuclear Research and Nuclear EnergyBG1 paper
- Southern Federal UniversityRU1 paper
- University of EssexGB1 paper
- University of KentGB1 paper
- University of TübingenDE1 paper
- Yaroslavl State UniversityRU1 paper
4 papers · 1 filter
A noncommutative discrete potential KdV lift
Sotiris Konstantinou-Rizos, Theodoros E. Kouloukas
In this paper, we construct a Grassmann extension of a Yang-Baxter map which first appeared in [16] and can be considered as a lift of the discrete potential Korteweg-de Vries (dpK…
Anticommutative extension of the Adler map
Sotiris Konstantinou-Rizos, Alexander V. Mikhailov
We construct a noncommutative (Grassmann) extension of the well known Adler Yang-Baxter map. It satisfies the Yang-Baxter equation, it is reversible and birational. Our extension p…
Grassmann extensions of Yang-Baxter maps
Georgi G. Grahovski, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov
In this paper we show that there are explicit Yang-Baxter maps with Darboux-Lax representation between Grassmann extensions of algebraic varieties. Motivated by some recent results…
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…