Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation

DOI10.1134/S0012266119030066zbMath1422.30039WikidataQ115250629 ScholiaQ115250629MaRDI QIDQ2313329

V. I. Gromak

Publication date: 19 July 2019

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

zbMATH Keywords

meromorphic solutionsfourth-order analogue of Painlevé equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (3)

Analytic properties of solutions to equations in the generalized hierarchy of the second Painlevé equation ⋮ Lax pairs for one of hierarchies similar to the first Painlevé hierarchy ⋮ Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies

Cites Work

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• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• Painlevé differential equations in the complex plane
• Two hierarchies of ordinary differential equations and their properties
• On the theory of higher-order Painlevé equations
• Special polynomials and rational solutions of the hierarchy of the second Painlevé equation
• Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
• The second Painlev  equation, its hierarchy and associated special polynomials
• Amalgamations of the Painlevé equations
• Rational Solutions of Painlevé Equations

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