Integrable extensions of classical elliptic integrable systems
Exactly Solvable and Integrable Systems
2021-09-15 v1 Mathematical Physics
math.MP
Abstract
In this article we consider two particular examples of general construction proposed in arXiv:2012.15529. We consider the integrable extensions of the classical elliptic Calogero-Moser model of N particles with spin and the integrable Euler-Arnold top related to the group SL(N,C). The extended systems has additional N-1 degrees of freedom and can be described in terms of the Darboux variables.
Cite
@article{arxiv.2103.10099,
title = {Integrable extensions of classical elliptic integrable systems},
author = {M. Olshanetsky},
journal= {arXiv preprint arXiv:2103.10099},
year = {2021}
}
Comments
14 pages. Contribution in the TMP volume dedicated to the ninetieth anniversary of M.K. Polivanov's birth