10 citations · 10 across the 1 of their papers we have counts for
3 papers
Discretizations of the generalized AKNS scheme
Anastasia Doikou, Spyridoula Sklaveniti
We consider space discretizations of the matrix Zakharov-Shabat AKNS scheme, in particular the discrete matrix non-linear Scrhrödinger (DNLS) model, and the matrix generalization o…
Time-like boundary conditions in the NLS model
Anastasia Doikou, Iain Findlay, Spyridoula Sklaveniti
We focus on the non-linear Schrodinger model and we extend the notion of space-time dualities in the presence of integrable time-like boundary conditions. We identify the associate…
Non-commutative NLS-type hierarchies: dressing & solutions
Anastasia Doikou, Iain Findlay, Spyridoula Sklaveniti
We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PD…