4 papers
Noncommutative NLS systems: Darboux--Bäcklund transformations and integrable discretisations
Sotiris Konstantinou-Rizos
We study noncommutative analogues and integrable discretisations of nonlinear Schrödinger (NLS)-type systems associated with reduction groups. In particular, we consider the Ablow…
Scalene Yang-Baxter maps and Lax triples
S. Konstantinou-Rizos, T. Kouloukas
We study a generalisation of the set-theoretic Yang-Baxter equation and investigate the connection between its solutions and matrix refactorisation problems. We refer to such solut…
Integrable discretisations of the noncommutative NLS equation
S. Konstantinou-Rizos, P. Xenitidis
We show how to derive noncommutative versions of integrable partial difference equations using Darboux transformations. As an illustrative example, we use the nonlinear Schrödinge…
Noncommutative Boussinesq and NLS type 2- and 3-simplex maps
S. Konstantinou-Rizos, A. A. Kutuzova
We construct noncommutative maps related to the Boussinesq and Nonlinear Schrödinger (NLS) equations with their variables belonging to a noncommutative division ring. We show that…