Invariant characterization of third-order ordinary differential equations \(u'= f(x, u, u', u)\) with five-dimensional point symmetry group

DOI10.1016/J.CNSNS.2018.06.013OpenAlexW2884784631MaRDI QIDQ2206133

Yanyan Li

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08138

zbMATH Keywords

Lie point symmetryinvariant characterizationcartans equivalence methodscalar third-order ordinary differential 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 (1)

First integrals and solutions for a class of third-order nonlinear autonomous differential equations

Cites Work

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• THE LIE ALGEBRA sl(3, R) AND LINEARIZATION
• Third-order ordinary differential equationsy′′′ =f(x, y, y′, y″)with maximal symmetry group
• Symmetry group classification of ordinary differential equations: Survey of some results

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