Third-order ordinary differential equationsy′′′ =f(x, y, y′, y″)with maximal symmetry group

DOI10.2989/16073606.2015.1113572zbMath1428.34046OpenAlexW2511330738MaRDI QIDQ5236014

Ahmad Y. Al-Dweik

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2015.1113572

zbMATH Keywords

linearizationLie symmetriesthird order ODEspoint transformationcontact transformationrelative differential invariants

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Differential invariants (local theory), geometric objects (53A55)

Related Items (1)

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

Cites Work

• Classification of ordinary differential equations by conditional linearizability and symmetry
• Linearization of third-order ordinary differential equations by point and contact transformations
• Linearization of second order ordinary differential equations via Cartan's equivalence method
• The geometry of the equation \(y'=f(x,y,y',y)\)
• On third order ordinary differential equations with maximal symmetry group
• Geometric proof of Lie's linearization theorem
• Invariants of third-order ordinary differential equationsy^′′′=f(x,y,y′,y^′′) via point transformations
• On linearization of third-order ordinary differential equations
• Invariant Linearization Criteria for Systems of Cubically Nonlinear Second-Order Ordinary Differential Equations
• Contact symmetry algebras of scalar second-order ordinary differential equations
• THE LIE ALGEBRA sl(3, R) AND LINEARIZATION
• Symmetry group classification of ordinary differential equations: Survey of some results

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