Symmetry classification of first integrals for scalar linearizable second-order ODEs

DOI10.1155/2012/847086zbMath1272.34046DBLPjournals/jam/MahomedM12OpenAlexW2115577052WikidataQ58907468 ScholiaQ58907468MaRDI QIDQ1952958

Ebrahim Momoniat, K. S. Mahomed

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/847086

zbMATH Keywords

symmetryfirst integralsODEs

Mathematics Subject Classification ID

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

Related Items (5)

Generation and identification of ordinary differential equations of maximal symmetry algebra ⋮ Unnamed Item ⋮ Algebraic properties of first integrals for scalar linear third-order ODEs of maximal symmetry ⋮ Characterization of symmetry properties of first integrals for submaximal linearizable third-order ODEs ⋮ Algebraic properties of first integrals for systems of second-order ordinary differential equations of maximal symmetry

Cites Work

• Lie and Noether counting theorems for one-dimensional systems
• The algebraic structure of the first integrals of third-order linear equations
• Symmetry Lie algebras of \(n\)th order ordinary differential equations
• THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
• Maximal subalgebra associated with a first integral of a system possessing sl(3,R) algebra
• THE LIE ALGEBRA sl(3, R) AND LINEARIZATION
• A Basis of Conservation Laws for Partial Differential Equations
• Symmetry group classification of ordinary differential equations: Survey of some results
• Lie algebras associated with scalar second-order ordinary differential equations

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