Symmetry in the Painlev\'e systems and their extensions to four-dimensional systems
Algebraic Geometry
2010-11-04 v1
Abstract
We give a new approach to the symmetries of the Painlev\'e equations and , respectively. Moreover, we make natural extensions to fourth-order analogues for each of the Painlev\'e equations and , respectively, which are natural in the sense that they preserve the symmetries.
Cite
@article{arxiv.0704.2393,
title = {Symmetry in the Painlev\'e systems and their extensions to four-dimensional systems},
author = {Yusuke Sasano},
journal= {arXiv preprint arXiv:0704.2393},
year = {2010}
}
Comments
32 pages, 16 figures