The Sigma Form for the PII Hierarchy
Exactly Solvable and Integrable Systems
2021-05-10 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the so-called sigma form of the second Painlev\'e hierarchy. To obtain this form, we use some properties of the Hamiltonian structure of the second Painlev\'e hierarchy and of the Lenard operator.
Keywords
Cite
@article{arxiv.2012.11010,
title = {The Sigma Form for the PII Hierarchy},
author = {Irina Bobrova and Marta Mazzocco},
journal= {arXiv preprint arXiv:2012.11010},
year = {2021}
}