Volume 11, Issue 1, February 2004, Pages 13 - 20
Reduction of Order for Systems of Ordinary Differential Equations
Authors
C. Wafo Soh, F.M. Mahomed
Corresponding Author
C. Wafo Soh
Received 30 March 2003, Accepted 11 May 2003, Available Online 1 February 2004.
- DOI
- 10.2991/jnmp.2004.11.1.3How to use a DOI?
- Abstract
The classical reduction of order for scalar ordinary differential equations (ODEs) fails for a system of ODEs. We prove a constructive result for the reduction of order for a system of ODEs that admits a solvable Lie algebra of point symmetries. Applications are given for the case of a system of two second-order ODEs which admits a solvable four-dimensional Lie algebra of point symmetries.
- Copyright
- © 2006, 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 - C. Wafo Soh AU - F.M. Mahomed PY - 2004 DA - 2004/02/01 TI - Reduction of Order for Systems of Ordinary Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 13 EP - 20 VL - 11 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2004.11.1.3 DO - 10.2991/jnmp.2004.11.1.3 ID - Soh2004 ER -