On Integrable Ermakov-Painlev\'{e} IV Systems
Exactly Solvable and Integrable Systems
2020-02-04 v2
Abstract
Novel hybrid Ermakov-Painlev\'{e} IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. B\"{a}cklund transformations are then employed to generate classes of exact solutions via the linked canonical Painlev\'{e} IV equation.
Cite
@article{arxiv.1703.02282,
title = {On Integrable Ermakov-Painlev\'{e} IV Systems},
author = {Colin Rogers and Andrew P. Bassom and Peter A. Clarkson},
journal= {arXiv preprint arXiv:1703.02282},
year = {2020}
}
Comments
16 pages, 2 figures