Journal of Nonlinear Mathematical Physics

Volume 15, Issue Supplement 1, August 2008, Pages 124 - 133

Conditional Linearizability Criteria for Third Order Ordinary Differential Equations

Authors
Fazal M. Mahomed, Asghar Qadir
Corresponding Author
Fazal M. Mahomed
Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.s1.11How to use a DOI?
Abstract

Using geometric methods for linearizing systems of second order cubically non-linear in the first derivatives ordinary differential equations, we extend to the third order by differentiating the second order equation. This yields criteria for conditional linearizability via point transformation with respect to a second order equation of classes of third order ordinary differential quations, which are distinct from the classes available in the literature. Some examples are given and discussed.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - Supplement 1
Pages
124 - 133
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s1.11How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Fazal M. Mahomed
AU  - Asghar Qadir
PY  - 2008
DA  - 2008/08/01
TI  - Conditional Linearizability Criteria for Third Order Ordinary Differential Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 124
EP  - 133
VL  - 15
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s1.11
DO  - 10.2991/jnmp.2008.15.s1.11
ID  - Mahomed2008
ER  -