Conditional Linearizability Criteria for Third Order Ordinary Differential Equations

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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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  -