Symmetric solutions to the four dimensional degenerate Painlevé type equation NY A 4

DOI10.1080/14029251.2014.936757zbMath1420.34106OpenAlexW1966998618MaRDI QIDQ5230952

Kazuo Kaneko

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2014.936757

zbMATH Keywords

Bäcklund transformationmonodromy datafour-dimensional degenerate Painlevé-type equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The degeneration of the two dimensional Garnier system and the polynomial Hamiltonian structure
• A new solution of the fourth Painlevé equation with a solvable monodromy
• Rational solutions of the \(A_4\) Painlevé equation
• Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
• Nonlinear chains and Painlevé equations
• Meromorphic Painlevé transcendents at a fixed singularity
• Fifth Painleve Transcendents Which are Analytic at the Origin
• Drinfeld-Sokolov Hierarchies of Type A and Fourth Order Painleve Systems
• Local expansion of Painlevé VI transcendents around a fixed singularity
• AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE <i>A</i>₄⁽¹⁾
• Coupled Painlev\'e VI systems in dimension four with affine Weyl group symmetry of type $D_6^{(1)}$, II

This page was built for publication: Symmetric solutions to the four dimensional degenerate Painlevé type equation NY ^{A ₄}