11 citations · 13 across the 6 of their papers we have counts for
7 papers
Bilinear formalism for Schwarzian KP and Harry Dym hierarchies
Vadim Prokofev, Anton Zabrodin
We consider the Schwarzian KP and Harry Dym hierarchies in the framework of the bilinear formalism which is well known for such integrable hierarchies as KP, modified KP, BKP, Toda…
Dispersionless version of multi-component Pfaff-Toda hierarchy
A. Savchenko, A. Zabrodin
We consider the dispersionless limit of the recently introduced multi-component Pfaff-Toda hierarchy. Its dispersionless version is a set of nonlinear differential equations for th…
Multi-component Pfaff-Toda hierarchy within bilinear formalism
A. Savchenko, A. Zabrodin
Using the free fermions technique and non-abelian bosonization rules we introduce the multi-component Pfaff-Toda hierarchy. The tau-function is defined as vacuum expectation value…
Multi-component Toda lattice hierarchy
T. Takebe, A. Zabrodin
We give a detailed account of the N -component Toda lattice hierarchy. This hierarchy is an extended version of the one introduced by Ueno and Takasaki. Our version contains N disc…
Dispersionless version of the multicomponent KP hierarchy revisited
A. Zabrodin
We revisit dispersionless version of the multicomponent KP hierarchy considered previously by Takasaki and Takebe. In contrast to their study, we do not fix any distinguished compo…
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…
KP hierarchy and trigonometric Calogero-Moser hierarchy
A. Zabrodin
We consider trigonometric solutions of the KP hierarchy. It is known that their poles move as particles of the Calogero-Moser model with trigonometric potential. We show that this…