66 citations · 1.3k across the 97 of their papers we have counts for
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Liouville integrable defects: the non-linear Schrodinger paradigm
Jean Avan, Anastasia Doikou
A systematic approach to Liouville integrable defects is proposed, based on an underlying Poisson algebraic structure. The non-linear Schrodinger model in the presence of a single…
Defects in the discrete non-linear Schrodinger model
Anastasia Doikou
The discrete non-linear Schrodinger (NLS) model in the presence of an integrable defect is examined. The problem is viewed from a purely algebraic point of view, starting from the…
Generalized Landau-Lifshitz models on the interval
Anastasia Doikou, Nikos Karaiskos
We study the classical generalized gl(n) Landau-Lifshitz (L-L) model with special boundary conditions that preserve integrability. We explicitly derive the first non-trivial local…
Integrable quantum spin chains and their classical continuous counterparts
Jean Avan, Anastasia Doikou, Konstadinos Sfetsos
We present certain classical continuum long wave-length limits of prototype integrable quantum spin chains, and define the corresponding construction of classical continuum Lax ope…