Lie point symmetry analysis of a second order differential equation with singularity

DOI10.1016/j.jmaa.2017.02.033zbMath1377.34045arXiv1612.07080OpenAlexW2561338712WikidataQ115345999 ScholiaQ115345999MaRDI QIDQ2408609

Pedro J. Torres, F. Güngör

Publication date: 12 October 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07080

zbMATH Keywords

Ermakov-Lewis invariantLie point symmetrynonlinear superpositionErmakov-Pinney equation\(\mathrm{sl}(2, \mathbb{R})\) invariant equationssecond order Kummer-Schwarz equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (4)

Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of Ermakov-Pinney Lie algebra ⋮ The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions ⋮ Hidden symmetry of the static response of black holes: applications to Love numbers ⋮ Lie symmetry properties of the two-component complex Ginzburg–Landau system with variable coefficients

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