On the transformation group of the second Painlevé equation

DOI10.1017/S0027763000007169zbMath0972.34073MaRDI QIDQ4953050

Hiroshi Umemura

Publication date: 4 November 2001

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Weyl groupvector fieldfibrationBäcklund transformationprojective model

Mathematics Subject Classification ID

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

Related Items (3)

Painlevé equations -- nonlinear special functions. ⋮ Mathematical works of Hiroshi Umemura ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations

Cites Work

• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• Solutions of the second and fourth Painlevé equations, I

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