Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach

Linearization criteria for two-dimensional systems of second-order ordinary differential equations (ODEs) have been derived earlier using complex symmetry analysis. For such systems, the linearizable form, linearization criteria and symmetry group classification are presented. In this paper, we exte...

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Bibliographic Details
Published inArabian Journal of Mathematics Vol. 8; no. 3; pp. 163 - 170
Main Authors Dutt, Hina M., Safdar, M., Qadir, Asghar
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019
Springer
Springer Nature B.V
Subjects
Analysis
Criteria
Differential equations
Lie, Marius Sophus
Linearization
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary differential equations
Symmetry
Pakistan
76M60
34A05
35A24
93C15
Online AccessGet full text
ISSN2193-5343
2193-5351
2193-5351
DOI10.1007/s40065-019-0238-8

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Summary:Linearization criteria for two-dimensional systems of second-order ordinary differential equations (ODEs) have been derived earlier using complex symmetry analysis. For such systems, the linearizable form, linearization criteria and symmetry group classification are presented. In this paper, we extend the complex approach to obtain a complex-linearizable form of two-dimensional systems of third-order ODEs. This form leads to a linearizable class and linearization criteria of these systems of ODEs.
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ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-019-0238-8