Coupled Painlevé III system with affine Weyl group symmetry of type $D_6^{(1)}$

Details Coupled Painlevé III system with affine Weyl group symmetry of type $D_6^{(1)}$ Coupled Painlevé III system with affine Weyl group symmetry of type $D_6^{(1)}$

2007-04-22

arxiv.org/abs/0704.2873v2

Mathematics

Algebraic Geometry

16 pages, 2 figures

Scientific paper

We find and study a six-parameter family of coupled Painlev\'e III systems in
dimension six with affine Weyl group symmetry of type $D_6^{(1)}$. We also find
and study its degenerate systems with affine Weyl group symmetry of types
$B_5^{(1)}$ and $D_5^{(2)}$.

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