Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems

Abstract

This is the last part of a series of three papers entitled "Four-dimensional Painlevé-type equations associated with ramified linear equations". In this series of papers we aim to construct the complete degeneration scheme of four-dimensional Painlevé-type equations. In the present paper, we consider the degeneration of the Garnier system in two variables and the Fuji-Suzuki system.

References in corpus (3)

• 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
• Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

Cited by in corpus (6)

• Noncommutative Painlevé equations and systems of Calogero type
• Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV 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
• Four-dimensional Painlevé-type difference equations