Volume 16, Issue Supplement 1, December 2009, Pages 165 - 178
Conditional Linearizability of Fourth-Order Semi-Linear Ordinary Differential Equations
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
Centre for Advanced Mathematics & Physics, National University of Sciences & Technology, Campus of College of Electrical & Mechanical Engineering, Peshawar Road, Rawalpindi, Pakistan,email@example.com
Received 14 August 2009, Accepted 2 September 2009, Available Online 7 January 2021.
- 10.1142/S140292510900039XHow to use a DOI?
- Conditional linearization; Lie linearization; geometric method; fourth-order ordinary differential equations
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.
- © 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 -