Relations between different Hamiltonian forms of the third Painlev\'e equation
Exactly Solvable and Integrable Systems
2021-11-19 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
In this paper we study different Hamiltonian systems with polynomial and rational Hamiltonians associated with the generic third Painlev\'e equation and present explicit birational transformations relating them.
Keywords
Cite
@article{arxiv.2111.09812,
title = {Relations between different Hamiltonian forms of the third Painlev\'e equation},
author = {Galina Filipuk and Adam Ligȩza and Alexander Stokes},
journal= {arXiv preprint arXiv:2111.09812},
year = {2021}
}
Comments
7 pages, 1 figure