Painlevé analysis and analytic solutions to the Riccati types of equations (Q498389)
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scientific article; zbMATH DE number 6485807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Painlevé analysis and analytic solutions to the Riccati types of equations |
scientific article; zbMATH DE number 6485807 |
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Painlevé analysis and analytic solutions to the Riccati types of equations (English)
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28 September 2015
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For the generalized Riccati equation \[ \dfrac{dy}{dx}=P(x)y^m+Q(x)y^n+R(x) \] with \(m>n\), the author characterizes its Painlevé property, and the existence of analytic solutions.
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Riccati equation
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Painlevé test
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power series method
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analytic solution
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