Miura maps for St\"{a}ckel systems
Exactly Solvable and Integrable Systems
2023-07-06 v1 Mathematical Physics
math.MP
Abstract
We introduce the concept of Miura maps between parameter-dependent algebraic curves of hyperelliptic type. These Miura maps induce Miura maps between St\"{a}ckel systems defined (on the extended phase space) by the considered algebraic curves. This construction yields a new way of generating multi-Hamiltonian representations for St\"{a}ckel systems.
Keywords
Cite
@article{arxiv.2307.01340,
title = {Miura maps for St\"{a}ckel systems},
author = {Krzysztof Marciniak and Maciej Błaszak},
journal= {arXiv preprint arXiv:2307.01340},
year = {2023}
}