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20022015
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

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12 papers · 1 filter

hep-th2014★ 1 cited

Scattering matrices in the sl(3) twisted Yangian

Jean Avan, Anastasia Doikou, Nikos Karaiskos

A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-solit…

hep-th2013★ 2 cited

The sine-Gordon model in the presence of defects

Jean Avan, Anastasia Doikou

The sine-Gordon model in the presence of dynamical integrable defects is investigated. This is an application of the algebraic formulation introduced for integrable defects in earl…

hep-th2012★ 23 cited

The sine-Gordon model with integrable defects revisited

Jean Avan, Anastasia Doikou

Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-mat…

hep-th2011★ 1 cited

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…

hep-th2008★ 18 cited

Boundary Lax pairs for the Toda field theories

Jean Avan, Anastasia Doikou

Based on the recent formulation of a general scheme to construct boundary Lax pairs,we develop this systematic construction for the affine Toda field theories (ATFT). W…

hep-th2008★ 77 cited

Correlation functions of the open XXZ chain II

N. Kitanine, K. Kozlowski, J. M. Maillet +3

We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formula…