Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - Supplement 2
Pages
73 - 91
Publication Date
2002/09/02
ISBN
91-631-2869-1
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.s2.7How to use a DOI?
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  -