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

Abstract

We find and study a six-parameter family of coupled Painlevé 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 $D_5^{(2)}$.

16 pages, 2 figures

References in corpus (1)

• Symmetries in the system of type $D_4^{(1)}$