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…
Selected Topics in Classical Integrability
Anastasia Doikou
Basic notions regarding classical integrable systems are reviewed. An algebraic description of the classical integrable models together with the zero curvature condition descriptio…
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…