Journal of Nonlinear Mathematical Physics

Volume 16, Issue Supplement 1, December 2009, Pages 165 - 178

Conditional Linearizability of Fourth-Order Semi-Linear Ordinary Differential Equations

Authors
F. M. Mahomed
School of Computational and Applied Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050, South Africa,Fazal.Mahomed@wits.ac.za
Asghar Qadir
Centre for Advanced Mathematics & Physics, National University of Sciences & Technology, Campus of College of Electrical & Mechanical Engineering, Peshawar Road, Rawalpindi, Pakistan,aqadirmath@yahoo.com
Received 14 August 2009, Accepted 2 September 2009, Available Online 7 January 2021.
DOI
10.1142/S140292510900039XHow to use a DOI?
Keywords
Conditional linearization; Lie linearization; geometric method; fourth-order ordinary differential equations
Abstract

By the use of geometric methods for linearizing systems of second-order cubically semi-linear ordinary differential equations and the conditional linearizability of third-order quintically semi-linear ordinary differential equations, we extend to the fourth-order by differentiating the third-order conditionally linearizable equation. This yields criteria for conditional linearizability of a class of fourth-order semi-linear ordinary differential equations, which have not been discussed in the literature previously.

Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - Supplement 1
Pages
165 - 178
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S140292510900039XHow to use a DOI?
Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - F. M. Mahomed
AU  - Asghar Qadir
PY  - 2021
DA  - 2021/01/07
TI  - Conditional Linearizability of Fourth-Order Semi-Linear Ordinary Differential Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 165
EP  - 178
VL  - 16
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S140292510900039X
DO  - 10.1142/S140292510900039X
ID  - Mahomed2021
ER  -