A novel Bäcklund invariance of a nonlinear differential equation (Q1840545)
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scientific article; zbMATH DE number 1563095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A novel Bäcklund invariance of a nonlinear differential equation |
scientific article; zbMATH DE number 1563095 |
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A novel Bäcklund invariance of a nonlinear differential equation (English)
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11 February 2001
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The equation \(yy''=S(x)\) is investigated. Bäcklund transformations are applied to the problem. It is proved that the equation admits an invariance when the source term is represented by a solution to a suitable functional equation.
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Bäcklund transformations
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nonlinear ordinary differential equations
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invariance properties
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