Bäcklund transformations for the second member of the first Painlevé hierarchy

DOI10.1016/S0375-9601(01)00502-3zbMath0971.34077OpenAlexW2093616712MaRDI QIDQ5942443

Pilar Ruiz Gordoa

Publication date: 29 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00502-3

zbMATH Keywords

fourth-order ordinary differential equation

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (3)

Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation ⋮ Bäcklund transformations for higher order Painlevé equations

Cites Work

• Second-order fourth-degree Painlevé-type equations
• 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
• Nonisospectral scattering problems: A key to integrable hierarchies
• On a unified approach to transformations and elementary solutions of Painlevé equations
• New Bäcklund transformations for the third and fourth Painlevé equations to equations of second order and higher degree

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