Some Fourth-Order Ordinary Differential Equations which Pass the Painlevé Test

DOI10.2991/jnmp.2001.8.s.30zbMath0982.34077OpenAlexW4231116875MaRDI QIDQ2732476

Nikolay A. Kudryashov

Publication date: 23 July 2001

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.30

zbMATH Keywords

Painlevé analysisfourth-order ordinary differential equations

Mathematics Subject Classification ID

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

Related Items (8)

Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Soliton, rational and special solutions of the Korteweg-de Vries hierarchy ⋮ Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs ⋮ On Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEs ⋮ Nonlinear differential equations of the second, third and fourth order with exact solutions ⋮ A Lagrangian description of the higher-order Painlevé equations ⋮ Third order differential equations with fixed critical points ⋮ Painlevé test for ordinary differential equations associated with the heat equation

Cites Work

• Unnamed Item
• Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation
• On classes of integrable systems and the Painlevé property
• On new transcendents defined by nonlinear ordinary differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Transcendents defined by nonlinear fourth-order ordinary differential equations

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