New Bäcklund transformations for the third and fourth Painlevé equations to equations of second order and higher degree

DOI10.1016/S0375-9601(01)00178-5zbMath0986.34075OpenAlexW1966625433MaRDI QIDQ5935127

Andrew Pickering, Pilar Ruiz Gordoa

Publication date: 20 June 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00178-5

zbMATH Keywords

Bäcklund transformationsthird and fourth Painlevé equations

Mathematics Subject Classification ID

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

Related Items (max. 100)

Bäcklund transformations for higher order Painlevé equations ⋮ Bäcklund transformations for the second member of the first Painlevé hierarchy ⋮ Bäcklund transformations for Painlevé I and II equations to Painlevé-type equations of second order and higher degree

Cites Work

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• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• New integrable equations of fourth order and higher degree related to Cosgrove’s equation
• Second-order second-degree Painlevé equations related to Painlevé IV,V,VI equations
• Second-order second-degree Painlevé equations related with Painlevé I–VI equations and Fuchsian-type transformations
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Rational Solutions of Painlevé Equations

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