34 citations · 98 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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 transformation for the vector sine-Gordon equation and integrable equations on a sphere
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang
We propose a method for construction of Darboux transformations, which is a new development of the dressing method for Lax operators invariant under a reduction group. We apply the…
Dressing method for the vector sine-Gordon equation and its soliton interactions
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordon equation. The explicit formulas for one kink and one breather are derived. The…
Darboux transformation with Dihedral reduction group
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Backlund transformation c…