Bäcklund transformations for fourth Painlevé hierarchies

DOI10.1016/j.jde.2005.05.003zbMath1080.34073arXivnlin/0505025OpenAlexW1974481429MaRDI QIDQ2569886

Andrew Pickering, Nalini Joshi, Pilar Ruiz Gordoa

Publication date: 24 October 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0505025

zbMATH Keywords

transformation propertiesordinary differential equationshierarchiesthe Painlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Soliton equations (35Q51) Painlevé-type functions (33E17)

Related Items

Nonisospectral scattering problems and similarity reductions ⋮ On matrix Painlevé hierarchies ⋮ Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ Asymptotic behavior of the fourth Painlevé transcendents in the space of initial values ⋮ A new kind of Bäcklund transformation for partial differential equations ⋮ On the nesting of Painlevé hierarchies: a Hamiltonian approach ⋮ On matrix fourth Painlevé hierarchies ⋮ Generalized scaling reductions and Painlevé hierarchies ⋮ The Prelle-Singer method and Painlevé hierarchies ⋮ On an extended second Painlevé hierarchy ⋮ Auto-Bäcklund transformations for a matrix partial differential equation ⋮ Bäcklund transformations for new fourth Painlevé hierarchies ⋮ Bäcklund transformations for a discrete second Painlevé hierarchy ⋮ Gauge symmetry origin of Bäcklund transformations for Painlevé equations

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