Rational solutions to d-PIV
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
We study the rational solutions of the discrete version of Painleve's fourth equation d-PIV. The solutions are generated by applying Schlesinger transformations on the seed solutions -2z and -1/z. After studying the structure of these solutions we are able to write them in a determinantal form that includes an interesting parameter shift that vanishes in the continuous limit.
Cite
@article{arxiv.solv-int/9705002,
title = {Rational solutions to d-PIV},
author = {Jarmo Hietarinta and Kenji Kajiwara},
journal= {arXiv preprint arXiv:solv-int/9705002},
year = {2008}
}
Comments
11 pages, LaTeX2e with epic. To appear in the proceedings of SIDE II, Canterbury 1996