Volume 9, Issue Supplement 2, September 2002, Pages 73 - 91
Symmetries and Integrating Factors
Authors
P.G.L. Leach, S.É. Bouquet
Corresponding Author
P.G.L. Leach
Received 1 January 2002, Available Online 2 September 2002.
- DOI
- 10.2991/jnmp.2002.9.s2.7How to use a DOI?
- Abstract
Cheb-Terrab and Roche (J. Sym. Comp. 27 (1999), 501519) presented what they termed a systematic algorithm for the construction of integrating factors for second order ordinary differential equations. They showed that there were instances of odinary differential equations without Lie point symmetries which were solvable with this algorithm. We demonstrate that the existence of integrating factors is paralleled by the existence of suitable Lie symmetries which enable one to reduce the equations to quadratures thereby emphasising the fact that integrability relies upon symmetry.
- 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 - P.G.L. Leach AU - S.É. Bouquet PY - 2002 DA - 2002/09/02 TI - Symmetries and Integrating Factors JO - Journal of Nonlinear Mathematical Physics SP - 73 EP - 91 VL - 9 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.s2.7 DO - 10.2991/jnmp.2002.9.s2.7 ID - Leach2002 ER -