New integrable equations of fourth order and higher degree related to Cosgrove’s equation

DOI10.1063/1.1351886zbMath1016.34090OpenAlexW2031234256MaRDI QIDQ2774858

Andrew Pickering, Pilar Ruiz Gordoa

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1351886

zbMATH Keywords

Cosgrove's equationPainlevé classification

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items

Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type, Higher‐Order Painlevé Equations in the Polynomial Class II: Bureau Symbol P1, Auto-Bäcklund transformations for a differential-delay equation, New Bäcklund transformations for the third and fourth Painlevé equations to equations of second order and higher degree, 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

• A perturbative Painlevé approach to nonlinear differential equations
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• Second-order second degree Painlevé equations related with Painlevé I, II, III equations
• Second-order second-degree Painlevé equations related with Painlevé I–VI equations and Fuchsian-type transformations
• On a new non-isospectral variant of the Boussinesq hierarchy
• Nonisospectral scattering problems: A key to integrable hierarchies
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2