34 citations · 98 across the 9 of their papers we have counts for
10 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…
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…
High Order Three Part Split Symplectic Integration Schemes
Enrico Gerlach, Siegfried Eggl, Charalampos Skokos +2
Symplectic integration methods based on operator splitting are well established in many branches of science. For Hamiltonian systems which split in more than two parts, symplectic…