Integration via modification: a method of reduction of order for systems of ordinary differential equations

DOI10.2977/prims/1166642056zbMath1120.34027OpenAlexW2086011608MaRDI QIDQ2495260

Julia Prada, Andrew Pickering, Pilar Ruiz Gordoa

Publication date: 5 July 2006

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1166642056

zbMATH Keywords

Hamiltonian operatorMiura map

Mathematics Subject Classification ID

Related Items (9)

On matrix Painlevé hierarchies ⋮ Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems ⋮ Integrability properties of a generalized reduction of the KdV6 equation ⋮ On the nesting of Painlevé hierarchies: a Hamiltonian approach ⋮ Auto-Bäcklund transformations for a differential-delay equation ⋮ A method of reduction of order for discrete systems ⋮ The Prelle-Singer method and Painlevé hierarchies ⋮ Bäcklund transformations for new fourth Painlevé hierarchies ⋮ Auto-Bäcklund transformations and integrability of ordinary and partial differential equations

Cites Work

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• On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations
• On a generalized \(2+1\) dispersive water wave hierarchy
• Differential equations with fixed critical points. II
• On a new non-isospectral variant of the Boussinesq hierarchy
• Nonisospectral scattering problems: A key to integrable hierarchies
• Painlevé test and the first Painlevé hierarchy
• Rational Solutions of Painlevé Equations

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