Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $D_6^{(1)}$, II

Abstract

We give a reformulation of a six-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of type $D_6^{(1)}$ from the viewpoint of its symmetry and holomorphy properties.

14 pages, 5 figures

References in corpus (3)

• Symmetries in the system of type $D_4^{(1)}$
• Polynomial Hamiltonian system in two variables with $W(A_1^{(1)})$-symmetry and the second Painlevé hierarchy
• Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of types $B_6^{(1)}$, $D_6^{(1)}$ and $D_7^{(2)}$

Cited by in corpus (13)

• Degeneration scheme of 4-dimensional Painlevé-type equations
• Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
• Symmetries in the system of type $D_4^{(1)}$
• Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems
• Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems
• A $q$-analogue of the matrix sixth Painlevé system
• Six-dimensional Painleve systems and their particular solutions in terms of hypergeometric functions
• Coupled Painlevé systems in dimension four with affine Weyl group symmetry of types $A_4^{(2)}$ and $A_1^{(1)}$
• Five-parameter family of partial differential systems in two variables
• 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 $D_4^{(2)}$
• Four-dimensional Painlevé-type difference equations
• Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations