title: |
Integrating Factors and - Symmetries |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 300 - 309 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.29 (how to use a DOI) | |
author(s): |
C. Muriel, J. L. Romero |
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publication date: |
October 2008 |
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abstract: |
We investigate the relationship between integrating factors and -symmetries for ordinary
differential equations of arbitrary order. Some results on the existence of -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 -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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |