Integrating Factors and λ—Symmetries

DOI

10.2991/jnmp.2008.15.s3.29How to use a DOI?

Abstract

We investigate the relationship between integrating factors and λ-symmetries for ordinary differential equations of arbitrary order. Some results on the existence of λ-symmetries are used to prove an independent existence theorem for integrating factors. A new method to calculate integrating factors and the associated first integrals is derived from the method to compute λ-symmetries and the associated reduction algorithm. Several examples illustrate how the method works in practice and how the computations that appear in other methods may be simplified.

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  - C. Muriel
AU  - J. L. Romero
PY  - 2008
DA  - 2008/10/01
TI  - Integrating Factors and λ—Symmetries
JO  - Journal of Nonlinear Mathematical Physics
SP  - 300
EP  - 309
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.29
DO  - 10.2991/jnmp.2008.15.s3.29
ID  - Muriel2008
ER  -