Folding transformations of equations from the Gambier family (Q907665)
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scientific article; zbMATH DE number 6535620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Folding transformations of equations from the Gambier family |
scientific article; zbMATH DE number 6535620 |
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Folding transformations of equations from the Gambier family (English)
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26 January 2016
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The authors investigate the connection between the Gambier equation (a second-order differential equation with cubic polynomial) and the Abel chain of equations which is a generalization of the Riccati chain (for quadratic nonlinearities). For this, they study the first and second integrals of the Gambier equation and use a generalized folding transformation.
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Gambier equation
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Abel sequence of differential equations
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folding transformation
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