Regularising transformations for the \((n,n+1)\)-Liénard equations

DOI10.1007/s11005-022-01606-2OpenAlexW4308398099MaRDI QIDQ2100089

Galina Filipuk

Publication date: 21 November 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-022-01606-2

zbMATH Keywords

movable singularitiesLiénard equationsalgebraic singularities

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Cites Work

• Unnamed Item
• A class of differential equations of PI-type with the quasi-Painlevé property
• Movable singularities of equations of Liénard type
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• On singularities of certain non-linear second-order ordinary differential equations
• Regularising transformations for complex differential equations with movable algebraic singularities
• Geometric aspects of Painlevé equations
• Movable algebraic singularities of second-order ordinary differential equations
• An Abel ordinary differential equation class generalizing known integrable classes
• The Painlevé Handbook

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