27 citations · 158 across the 18 of their papers we have counts for
3 papers · 1 filter
Solitons: conservation laws & dressing methods
Anastasia Doikou, Iain Findlay
We review some of the fundamental notions associated to the theory of solitons. More precisely, we focus on the issue of conservation laws via the existence of the Lax pair and als…
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…
Stochastic analysis & discrete quantum systems
Anastasia Doikou, Simon J. A. Malham, Anke Wiese
We explore the connections between the theories of stochastic analysis and discrete quantum mechanical systems. Naturally these connections include the Feynman-Kac formula, and the…