Invertible point transformations, Painlevé test, and the second Painlevé transcendent (Q807797)
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scientific article; zbMATH DE number 4208522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invertible point transformations, Painlevé test, and the second Painlevé transcendent |
scientific article; zbMATH DE number 4208522 |
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Invertible point transformations, Painlevé test, and the second Painlevé transcendent (English)
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1991
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The rather complicated condition given by Euler et al. (1989) that the anharmonic oscillator \(u''+f_ 1(t)u'+f_ 2(t)+f_ 3u^ 3=0\) passes the Painlevé test is shown to be identical to the condition that the anharmonic oscillator can be transformed to the second Painlevé transcendent.
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nonlinear ordinary differential equations
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anharmonic oscillator
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Painlevé test
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