5 citations · 20 across the 8 of their papers we have counts for
8 papers
Elliptic Cauchy matrices
V. Prokofev, A. Zabrodin
Some identities that involve the elliptic version of the Cauchy matrices are presented and proved. They include the determinant formula, the formula for the inverse matrix, the mat…
Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model
V. Prokofev, A. Zabrodin
We consider solutions of the matrix KP hierarchy that are elliptic functions of the first hierarchical time . It is known that poles and matrix residues at the poles $…
Elliptic solutions to Toda lattice hierarchy and elliptic Ruijsenaars-Schneider model
V. Prokofev, A. Zabrodin
We consider solutions of the 2D Toda lattice hierarchy which are elliptic functions of the zeroth time t_0=x. It is known that their poles as functions of t_1 move as particles of…
Elliptic solutions to the KP hierarchy and elliptic Calogero-Moser model
V. Prokofev, A. Zabrodin
We consider solutions of the KP hierarchy which are elliptic functions of . It is known that their poles as functions of move as particles of the elliptic Calogero-Mos…
Matrix KP hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy
V. Prokofev, A. Zabrodin
We consider solutions of the matrix KP hierarchy that are trigonometric functions of the first hierarchical time and establish the correspondence with the spin generalizati…
Toda lattice hierarchy and trigonometric Ruijsenaars-Schneider hierarchy
V. Prokofev, A. Zabrodin
We consider solutions of the 2D Toda lattice hierarchy which are trigonometric functions of the ``zeroth'' time . It is known that their poles move as particles of the trigo…