Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems

Abstract

As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlevé-type equations which includes the Painlevé-type equations associated with linear systems of ramified type. In the present paper, we consider the degeneration of Painlevé-type equations which we call the matrix Painlevé systems.

arXiv comment32 pages

References in corpus (4)

• Dual Isomonodromic Deformations and Moment Maps to Loop Algebras
• Degeneration scheme of 4-dimensional Painlevé-type equations
• Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $D_6^{(1)}$, II
• Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems

Cited by in corpus (6)

• Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
• Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems
• A $q$-analogue of the matrix sixth Painlevé system
• Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems
• Weights, Kovalevskaya exponents and the Painlevé property
• Four-dimensional Painlevé-type difference equations