66 citations · 698 across the 60 of their papers we have counts for
16 papers · 1 filter
From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
Jean Avan, Vincent Caudrelier, Nicolas Crampe
We reconcile the Hamiltonian formalism and the zero curvature representation in the approach to integrable boundary conditions for a classical integrable system in 1+1 space-time d…
Dynamical centers for the elliptic quantum algebra
J. Avan, L. Frappat, E. Ragoucy
We identify generating functionals that satisfy dynamical exchange relations with the Lax matrices defining the face-type elliptic quantum algebra ${\mathcal{B}}_{q,λ}(\hat{gl}_{2}…
On the origin of dual Lax pairs and their -matrix structure
Jean Avan, Vincent Caudrelier
We establish the algebraic origin of the following observations made previously by the authors and coworkers: (i) A given integrable PDE in dimensions within the Zakharov-Sha…
Deformed Virasoro algebras from elliptic quantum algebras
J. Avan, L. Frappat, E. Ragoucy
We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 90's. It allows u…
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
Jean Avan, Vincent Caudrelier, Anastasia Doikou +1
We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…
The sl(N) twisted Yangian: bulk-boundary scattering & defects
Jean Avan, Anastasia Doikou, Nikos Karaiskos
We consider the sl(N) twisted Yangian quantum spin chain. In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in th…