21 citations · 40 across the 7 of their papers we have counts for
7 papers
Reductions and degenerate limits of Yang-Baxter maps with Lax matrices
P. Adamopoulou, T. E. Kouloukas, G. Papamikos
We generalise a family of quadrirational parametric Yang-Baxter maps with Lax matrices by introducing additional essential parameters. These maps preserve a prescribed…
Entwining Yang-Baxter maps over Grassmann algebras
P. Adamopoulou, G. Papamikos
We construct novel solutions to the set-theoretical entwining Yang-Baxter equation. These solutions are birational maps involving non-commutative dynamical variables which are elem…
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…
Dressing for a vector modified KdV hierarchy
Panagiota Adamopoulou, Georgios Papamikos
We present the hierarchy and soliton solutions associated to a multi-component generalisation of the modified Korteweg-de Vries equation. A recursive formula for obtaining the Lax…
Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy
Panagiota Adamopoulou, Georgios Papamikos
We construct the hierarchy of a multi-component generalisation of modified KdV equation and find exact solutions to its associated members. The construction of the hierarchy and it…
Darboux-Backlund transformations, dressing & impurities in multi-component NLS
Panagiota Adamopoulou, Anastasia Doikou, Georgios Papamikos
We consider the discrete and continuous vector non-linear Schrodinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily int…
Bethe Ansatz equations for the classical affine Toda field theories
Panagiota Adamopoulou, Clare Dunning
We establish a correspondence between classical affine Toda field theories and Bethe Ansatz systems. We show that the connection coefficients relating specific so…