On integrability of the deformed Ruijsenaars-Schneider system
Exactly Solvable and Integrable Systems
2023-01-24 v2 Mathematical Physics
math.MP
Abstract
We find integrals of motion for the recently introduced deformed Ruijsenaars-Schneider many-body system which is the dynamical system for poles of elliptic solutions to the Toda lattice with constraint of type B. Our method is based on the fact that equations of motion for this system coincide with those for pairs of Ruijsenaars-Schneider particles which stick together preserving a special fixed distance between the particles.
Keywords
Cite
@article{arxiv.2212.13290,
title = {On integrability of the deformed Ruijsenaars-Schneider system},
author = {A. Zabrodin},
journal= {arXiv preprint arXiv:2212.13290},
year = {2023}
}
Comments
Section 5 added, 23 pages, 1 figure