Nonlinear differential equations of second Painlevé type with the quasi-Painlevé property

DOI10.2748/tmj/1232376167zbMath1166.34057OpenAlexW999716706MaRDI QIDQ1004661

Shun Shimomura

Publication date: 11 March 2009

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1232376167

zbMATH Keywords

Painlevé equationnonlinear differential equationmovable singularityhyperelliptic integralquasi-Painlevé property

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (5)

Regularising transformations for complex differential equations with movable algebraic singularities ⋮ Polynomial Hamiltonian systems with movable algebraic singularities ⋮ On Hamiltonian structures of quasi-Painlevé equations ⋮ Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics ⋮ On singularities of certain non-linear second-order ordinary differential equations

Cites Work

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• A class of differential equations of PI-type with the quasi-Painlevé property
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• Nevanlinna theory and complex differential equations
• Painlevé differential equations in the complex plane
• Movable algebraic singularities of second-order ordinary differential equations
• On the Singularities in the Complex Plane of the Solutions of yn+y′f(y)+g(y)=P(x)

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