Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations

DOI10.1016/j.cnsns.2008.09.021zbMath1221.34105OpenAlexW2002899167MaRDI QIDQ716783

Supaporn Suksern, Sergey V. Meleshko, Nail H. Ibragimov

Publication date: 2 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.09.021

zbMATH Keywords

nonlinear ordinary differential equationslinearization problemcontact transformation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items

Linearization of fifth-order ordinary differential equations by generalized Sundman transformations, Conditional symmetries of nonlinear third-order ordinary differential equations, Linearization of two second-order ordinary differential equations via fiber preserving point transformations, Reduction of fifth-order ordinary differential equations to linearizable form by contact transformations, Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms, Classification of scalar third order ordinary differential equations linearizable via generalized contact transformations, Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach, Laplace Transformation of Lie Class ω = 1 Overdetermined Systems

Uses Software

• REDUCE

Cites Work

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