On the properties of solutions of equations in the \(K_{2}\) hierarchy

DOI10.1134/S0012266108020043zbMath1188.34116MaRDI QIDQ843658

V. I. Gromak

Publication date: 15 January 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Painleve equations and higher order generalizations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Double Bäcklund transformations and special integrals for the \(K_{II}\) hierarchy
• Monodromy- and spectrum-preserving deformations. I
• Painlevé differential equations in the complex plane
• Non-autonomous Hénon-Heiles systems
• The first and second Painlevé equations of higher order and some relations between them
• Discrete equations corresponding to fourth-order differential equations of the P₂ and K₂ hierarchies
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
• Nonisospectral scattering problems: A key to integrable hierarchies
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• Rational Solutions of Painlevé Equations

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