26 citations · 187 across the 16 of their papers we have counts for
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Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian
A. Zabrodin, A. Zotov
We discuss a self-dual form or the Bäcklund transformations for the continuous (in time variable) Ruijsenaars-Schneider model. It is based on the first order equations…
Relativistic elliptic matrix tops and finite Fourier transformations
A. Zotov
We consider a family of classical elliptic integrable systems including (relativistic) tops and their matrix extensions of different types. These models can be obtained from the "o…
QKZ-Ruijsenaars correspondence revisited
A. Zabrodin, A. Zotov
We discuss the Matsuo-Cherednik type correspondence between the quantum Knizhnik-Zamolodchikov equations associated with and the -particle quantum Ruijsenaars model, wit…
KZ-Calogero correspondence revisited
A. Zabrodin, A. Zotov
We discuss the correspondence between the Knizhnik-Zamolodchikov equations associated with and the -particle quantum Calogero model in the case when is not necessari…