Auto-Bäcklund transformations for a differential-delay equation
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Publication:5397755
DOI10.1063/1.4793989zbMath1287.34051OpenAlexW2031640124WikidataQ115333299 ScholiaQ115333299MaRDI QIDQ5397755
Pilar Ruiz Gordoa, Andrew Pickering
Publication date: 24 February 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4793989
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) General theory of functional-differential equations (34K05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (5)
On matrix Painlevé hierarchies ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ On an extended second Painlevé hierarchy ⋮ Auto-Bäcklund transformations for a matrix partial differential equation ⋮ Auto-Bäcklund transformations and special integrals for differential-delay Painlevé hierarchies
Cites Work
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- Bäcklund transformations for Painlevé I and II equations to Painlevé-type equations of second order and higher degree
- Schlesinger transformations for discrete second Painlevé equation: d-\(P_{II}\)
- Integration via modification: a method of reduction of order for systems of ordinary differential equations
- New integrable equations of fourth order and higher degree related to Cosgrove’s equation
- A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
- New 2+1 dimensional nonisospectral Toda lattice hierarchy
- A method of reduction of order for discrete systems
- Bäcklund transformations for a discrete second Painlevé hierarchy
- Miura transforms for discrete Painleve equations
- Construction scheme for discrete Miura transformations
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