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

Abstract

In this paper, we propose a 4-parameter family of coupled Painlevé III systems in dimension four with affine Weyl group symmetry of type $D_4^{(1)}$. We also propose its symmetric form in which the $D_4^{(1)}$-symmetries become clearly visible.

4 pages, 1 figure

Cited by in corpus (4)

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• Coupled Painlevé systems with affine Weyl group symmetry of types $A_7^{(2)},A_5^{(2)}$ and $D_4^{(3)}$
• Ordinary differential system in dinension six with affine Weyl group symmetry of type $D_4^{(2)}$
• Coupled Painlevé III system with affine Weyl group symmetry of type $D_6^{(1)}$