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math-ph2018
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…
math-ph2018
A Dual Construction of the Isotropic Landau-Lifshitz Model
Iain Findlay
By interchanging the roles of the space and time coordinates, we describe a dual construction of the isotropic Landau-Lifshitz model, providing equal-space Poisson brackets and dua…
math-ph2018
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…