Matrix Painlevé systems

DOI10.1063/1.4914369zbMath1322.34099OpenAlexW1964174858MaRDI QIDQ5245239

Hiroshi Kawakami

Publication date: 7 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4914369

zbMATH Keywords

isomonodromic deformation equationsHamiltonian form

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (15)

Non-Abelian Toda lattice and analogs of Painlevé III equation ⋮ On matrix Painlevé-4 equations ⋮ Isomonodromic deformations: confluence, reduction and quantisation ⋮ Non-abelian Painlevé systems with generalized Okamoto integral ⋮ Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces ⋮ Hamiltonian reductions in matrix Painlevé systems ⋮ Four-dimensional Painlevé-type equations associated with ramified linear equations. III: Garnier systems and Fuji-Suzuki systems ⋮ Classification of Hamiltonian non-abelian Painlevé type systems ⋮ On classification of non-abelian Painlevé type systems ⋮ Unnamed Item ⋮ Noncommutative Painlevé equations and systems of Calogero type ⋮ Inozemtsev system as Seiberg-Witten integrable system ⋮ A Higher Order Painlevé System in Two Variables and Extensions of the Appell Hypergeometric Functions <i>F</i>₁, <i>F</i>₂ and <i>F</i>₃ ⋮ A q-analogue of the matrix sixth Painlevé system ⋮ A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions*

Cites Work

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• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
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• Simply-laced isomonodromy systems
• UC hierarchy and monodromy preserving deformation
• A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
• Drinfeld-Sokolov Hierarchies of Type A and Fourth Order Painleve Systems
• Rigid Local Systems. (AM-139)
• Middle convolution and deformation for Fuchsian systems
• Coupled Painlev\'e VI systems in dimension four with affine Weyl group symmetry of type $D_6^{(1)}$, II
• An algorithm of Katz and its application to the inverse Galois problem.

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