Invertible point transformations, Painleve analysis and anharmonic oscillators

The techniques of an invertible point transformation and the Painleve analysis can be used to construct integrable ordinary differential equations. The authors compare both techniques for anharmonic oscillators.

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Bibliographic Details
Published inJournal of physics. A, Mathematical and general Vol. 23; no. 8; pp. 1457 - 1463
Main Authors Duarte, L G S, Euler, N, Moreira, I C, Steeb, W -H
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 21.04.1990
Institute of Physics
Subjects
Exact sciences and technology
Function theory, analysis
Matematik
Mathematical methods in physics
Mathematics
Physics
Non linear equation
Painleve analysis
Differential equation
Partial differential equation
Anharmonic oscillator
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Summary:The techniques of an invertible point transformation and the Painleve analysis can be used to construct integrable ordinary differential equations. The authors compare both techniques for anharmonic oscillators.
ISSN:0305-4470
1361-6447
1361-6447
DOI:10.1088/0305-4470/23/8/019