45 citations · 77 across the 7 of their papers we have counts for
7 papers
Classical facets of quantum integrability
A. Zabrodin
This paper is a review of the works devoted to understanding and reinterpretation of the theory of quantum integrable models solvable by Bethe ansatz in terms of the theory of pure…
Multicomponent DKP hierarchy and its dispersionless limit
A. Savchenko, A. Zabrodin
Using the free fermions technique and bosonization rules we introduce the multicomponent DKP hierarchy as a generating bilinear integral equation for the tau-function. A number of…
On integrability of the deformed Ruijsenaars-Schneider system
A. Zabrodin
We find integrals of motion for the recently introduced deformed Ruijsenaars-Schneider many-body system which is the dynamical system for poles of elliptic solutions to the Toda la…
Elliptic solutions to integrable nonlinear equations and many-body systems
A. Zabrodin
We review elliptic solutions to integrable nonlinear partial differential and difference equations (KP, mKP, BKP, Toda) and derive equations of motion for poles of the solutions. T…
Multi-variable reductions of the dispersionless DKP hierarchy
V. Akhmedova, T. Takebe, A. Zabrodin
We consider multi-variable reductions of the dispersionless DKP hierarchy (the dispersionless limit of the Pfaff lattice) in the elliptic parametrization. The reduction is given by…
Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation
V. Akhmedova. A. Zabrodin
We show that one-variable reductions of the Pfaff-Toda integrable hierarchy in the dispersionless limit are described by a system of coupled elliptic Löwner (Komatu-Goluzin) equati…