Exceptional properties of second and third order ordinary differential equations of maximal symmetry (Q1840546)
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scientific article; zbMATH DE number 1563096
| Language | Label | Description | Also known as |
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| English | Exceptional properties of second and third order ordinary differential equations of maximal symmetry |
scientific article; zbMATH DE number 1563096 |
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Exceptional properties of second and third order ordinary differential equations of maximal symmetry (English)
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18 December 2001
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The Riccati transformation is used to reduce the order of second- and third-order ordinary differential equations of maximal symmetry. The \(sl(2,R)\) subalgebra is preserved under this transformation. The authors investigate contact symmetries arising from the Riccati transformation. Exceptional properties of second- and third-order equations of maximal symmetry are discussed.
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Riccati transformation
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ordinary differential equations
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maximal symmetry
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