Nonlinear differential equations associated with the first Painlevé hierarchy

DOI10.1016/J.AML.2018.11.013zbMath1414.34071OpenAlexW2901145493MaRDI QIDQ1726615

Nikolay A. Kudryashov

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.11.013

zbMATH Keywords

transformationPainlevé transcendentfirst Painlevé hierarchy

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (6)

Lax pairs and special polynomials associated with self-similar reductions of Sawada -- Kotera and Kupershmidt equations ⋮ Rational and special solutions for some Painlevé hierarchies ⋮ Lax pairs for one of hierarchies similar to the first Painlevé hierarchy ⋮ Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation ⋮ Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies ⋮ On Integrability of the FitzHugh – Rinzel Model

Cites Work

• Unnamed Item
• Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies
• The first and second Painlevé equations of higher order and some relations between them
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Transcendents defined by nonlinear fourth-order ordinary differential equations
• Amalgamations of the Painlevé equations
• From singular manifold equations to integrable evolution equations

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