St\"ackel transform of Lax equations
Exactly Solvable and Integrable Systems
2019-01-09 v1 Mathematical Physics
math.MP
Abstract
We construct Lax pairs for a wide class of St\"ackel systems by applying the multi-parameter St\"ackel transform to Lax pairs of a suitably chosen systems from the seed class. For a given St\"ackel system, the obtained set of non-equivalent Lax pairs is parametrized by an arbitrary function.
Cite
@article{arxiv.1901.02368,
title = {St\"ackel transform of Lax equations},
author = {Maciej Blaszak and Krzysztof Marciniak},
journal= {arXiv preprint arXiv:1901.02368},
year = {2019}
}