Characterization of symmetry properties of first integrals for submaximal linearizable third-order ODEs

DOI10.1155/2013/214872zbMath1296.34005OpenAlexW2155392732WikidataQ59024861 ScholiaQ59024861MaRDI QIDQ459649

K. S. Mahomed, Ebrahim Momoniat

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/214872

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

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• Lie and Noether counting theorems for one-dimensional systems
• Characterisation of the algebraic properties of first integrals of scalar ordinary differential equations of maximal symmetry
• The algebraic structure of the first integrals of third-order linear equations
• Algebraic properties of first integrals for scalar linear third-order ODEs of maximal symmetry
• Symmetry classification of first integrals for scalar linearizable second-order ODEs
• Symmetry Lie algebras of \(n\)th order ordinary differential equations
• Maximal subalgebra associated with a first integral of a system possessing sl(3,R) algebra
• A Basis of Conservation Laws for Partial Differential Equations

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