Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System

被引：0
作者：
V. Prokofev
A. Zabrodin
机构：
[1] Skolkovo Institute of Science and Technology,
[2] National Research University Higher School of Economics,undefined
[3] NRC “Kurchatov institute”,undefined
来源：
Mathematical Physics, Analysis and Geometry | 2023年 / 26卷
关键词：
Integrable systems; Elliptic functions; Ruijsenaars–Schneider system; Toda lattice; Field equations;
D O I：
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学科分类号：
摘要：
We study elliptic solutions of the recently introduced Toda lattice with the constraint of type B and derive equations of motion for their poles. The dynamics of poles is given by the deformed Ruijsenaars–Schneider system. We find its commutation representation in the form of the Manakov triple and study properties of the spectral curve. By studying more general elliptic solutions (elliptic families), we also suggest an extension of the deformed Ruijsenaars–Schneider system to a field theory.
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