On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type (Q2267551)
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| Language | Label | Description | Also known as |
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| English | On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type |
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On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type (English)
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1 March 2010
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The authors introduce the notion of a generalized Sundman transformation and define the associated Sundman symmetry for second order ODEs of the Painlevé-Gambier classification with the aim to compute new first integrals of Jacoi and special cases of Jacobi equations as particular equations of the Painlevé-Gambier classification. Sundman transformation allows to construct parametric solutions of these equations.
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Sundman transformation
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Sundman symmetries
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Painlevé-Gambier equation
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first integrals
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Jacobi equation
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