Four-dimensional Painlevé systems of types $D_5^{(1)}$ and $B_4^{(1)}$

Details Four-dimensional Painlevé systems of types $D_5^{(1)}$ and $B_4^{(1)}$ Four-dimensional Painlevé systems of types $D_5^{(1)}$ and $B_4^{(1)}$

2007-04-25

arxiv.org/abs/0704.3386v6

Mathematics

Algebraic Geometry

19 pages, 6 figures

Scientific paper

We find and study a five-parameter family of four-dimensional coupled
Painlev\'e V systems with affine Weyl group symmetry of type $D_5^{(1)}$. 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 $B_4^{(1)}$.

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