Rational solutions of dressing chains and higher order Painleve equations
Mathematical Physics
2018-11-27 v1 math.MP
Abstract
We present a new approach to determine the rational solutions of the higher order Painleve equations associated to periodic dressing chain systems. We obtain new sets of solutions, giving determinantal representations indexed by specific Maya diagrams in the odd case or universal characters in the even case.
Keywords
Cite
@article{arxiv.1811.10186,
title = {Rational solutions of dressing chains and higher order Painleve equations},
author = {D. Gomez-Ullate and Y. Grandati and S. Lombardo and R. Milson},
journal= {arXiv preprint arXiv:1811.10186},
year = {2018}
}