Nonlinear ordinary differential equations: a discussion on symmetries and singularities (Q2816546)

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scientific article; zbMATH DE number 6618899
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Nonlinear ordinary differential equations: a discussion on symmetries and singularities
scientific article; zbMATH DE number 6618899

    Statements

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    23 August 2016
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    Lie symmetries
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    singularity analysis
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    integrability
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    Nonlinear ordinary differential equations: a discussion on symmetries and singularities (English)
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    This paper contains a short review of symmetry analysis (Lie symmetries) and singularity analysis (Painlevé analysis) for nonlinear ordinary differential equations. The main similarities and the differences of the two methods are discussed. The consideration here can be extended to mutatis mutandus to systems of ordinary differential equations and to partial differential equations.
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