Invertible point transformations, Painleve analysis and anharmonic oscillators

DOI10.1088/0305-4470/23/8/019zbMath0721.34033OpenAlexW1982925437MaRDI QIDQ5752847

Willi-Hans Steeb, I. C. Moreira, L. G. S. Duarte, Norbert Euler

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/8/019

zbMATH Keywords

Painlevé analysisanharmonic oscillatorsinvertible point transformationintegrable ordinary differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (3)

Parametrically driven pendulum and exact solutions ⋮ Linearizing transformations to a generalized reaction–diffusion system ⋮ Invertible point transformations, Painlevé test, and the second Painlevé transcendent

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