Lax Representations for Separable Systems from Benenti Class
Mathematical Physics
2019-06-19 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper we construct Lax pairs for St\"ackel systems with separation curves from so-called Benenti class. For each system of considered family we present an infinite family of Lax representations, parameterized by smooth functions of spectral parameter.
Cite
@article{arxiv.1811.09096,
title = {Lax Representations for Separable Systems from Benenti Class},
author = {Maciej Błaszak and Ziemowit Domański},
journal= {arXiv preprint arXiv:1811.09096},
year = {2019}
}