12 citations · 12 across the 3 of their papers we have counts for
6 papers
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…
The design of conservative finite element discretisations for the vectorial modified KdV equation
James Jackaman, Georgios Papamikos, Tristan Pryer
We design a consistent Galerkin scheme for the approximation of the vectorial modified Korteweg-de Vries equation. We demonstrate that the scheme conserves energy up to machine pre…
A Symmetry Analysis of the -Polylaplacian
Georgios Papamikos, Tristan Pryer
In this work we use Lie group theoretic methods and the theory of prolonged group actions to study two fully nonlinear partial differential equations (PDEs). First we consider a th…
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…