A class of differential equations of PI-type with the quasi-Painlevé property

DOI10.1007/s10231-006-0004-3zbMath1150.34031OpenAlexW1969647938MaRDI QIDQ996929

Shun Shimomura

Publication date: 19 July 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-006-0004-3

zbMATH Keywords

Nonlinear differential equationHyperelliptic integralPainlev'e equationQuasi-Painlev'e property

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items

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, Nonlinear differential equations of second Painlevé type with the quasi-Painlevé property, Movable algebraic singularities of second-order ordinary differential equations, On singularities of certain non-linear second-order ordinary differential equations, Movable singularities of equations of Liénard type, Regularising transformations for the \((n,n+1)\)-Liénard equations

Cites Work

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• Symmetrization in the geometric theory of functions of a complex variable
• On Painlevé's equations I, II and IV
• Solutions of the first and second Painlevé equations are meromorphic