A differential geometric characterization of the first Painlevé transcendent (Q1085320)
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scientific article; zbMATH DE number 3981573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A differential geometric characterization of the first Painlevé transcendent |
scientific article; zbMATH DE number 3981573 |
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A differential geometric characterization of the first Painlevé transcendent (English)
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1987
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It is shown that the ordinary differential equation which defines the first Painlevé transcendent is characterized uniquely among generic second order ordinary differential equations by the property that a certain differential invariant should be a polynomial function of the three basic invariants provided by Elie Cartan's method of equivalence.
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first Painlevé transcendent
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second order ordinary differential equations
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differential invariant
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0.9113441
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0.8946723
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0.8903393
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0.88856435
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0.8870511
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0.8808342
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0.88057953
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