11 citations · 13 across the 6 of their papers we have counts for
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math-ph2025
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…
math-ph2023★ 1 cited
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…
math-ph2019★ 11 cited
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…