Invertible point transformations, Painlevé test, and the second Painlevé transcendent

DOI10.1007/BF00671014zbMath0731.34006OpenAlexW1990300840MaRDI QIDQ807797

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

Publication date: 1991

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00671014

zbMATH Keywords

anharmonic oscillatorPainlevé testnonlinear 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) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Cites Work

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• One-dimensional equations with the maximum number of symmetry generators
• The sine-Gordon equations: Complete and partial integrability
• n-dimensional equations with the maximum number of symmetry generators
• THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
• On exact solutions for damped anharmonic oscillators
• Transition to chaos in a generalized van der Pol's equation
• Invertible point transformations, Painleve analysis and anharmonic oscillators

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