Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms

DOI10.1016/J.CNSNS.2013.12.031OpenAlexW2003207869MaRDI QIDQ2300176

Asghar Qadir, Hina M. Dutt

Publication date: 27 February 2020

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

Full work available at URL: https://arxiv.org/abs/1312.7238

zbMATH Keywords

linearizationautonomous ODEclassification of ODEsreducible to Lie linearizable forms

Mathematics Subject Classification ID

Numerical analysis (65-XX) Ordinary differential equations (34-XX)

Related Items (3)

Conditional linearization of the quintic nonlinear beam equation ⋮ Complex Methods for Lie Symmetry Analysis ⋮ Classification of scalar third order ordinary differential equations linearizable via generalized contact transformations

Cites Work

• Unnamed Item
• Classification of ordinary differential equations by conditional linearizability and symmetry
• Linearization of third-order ordinary differential equations by point and contact transformations
• The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
• Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations
• Conditional linearizability criteria for a system of third-order ordinary differential equations
• The geometry of the equation \(y'=f(x,y,y',y)\)
• Symmetry Lie algebras of \(n\)th order ordinary differential equations
• On linearization of third-order ordinary differential equations
• Linearization of fourth-order ordinary differential equations by point transformations
• Symmetry group classification of ordinary differential equations: Survey of some results
• Conditional Linearizability of Fourth-Order Semi-Linear Ordinary Differential Equations

This page was built for publication: Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms