34 citations · 98 across the 9 of their papers we have counts for
3 papers · 1 filter
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…
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…