Four-dimensional Painlev\'e systems of types $D_5^{(1)}$ and $B_4^{(1)}$
Algebraic Geometry
2008-03-24 v6
Abstract
We find and study a five-parameter family of four-dimensional coupled Painlev\'e V systems with affine Weyl group symmetry of type . We then give an explicit description of a confluence from those systems to a four-parameter family of four-dimensional coupled Painlev\'e III systems with affine Weyl group symmetry of type .
Cite
@article{arxiv.0704.3386,
title = {Four-dimensional Painlev\'e systems of types $D_5^{(1)}$ and $B_4^{(1)}$},
author = {Yusuke Sasano},
journal= {arXiv preprint arXiv:0704.3386},
year = {2008}
}
Comments
19 pages, 6 figures