Volume 15, Issue supplement 3, October 2008, Pages 300 - 309
Integrating Factors and λ—Symmetries
C. Muriel, J. L. Romero
Available Online 1 October 2008.
- https://doi.org/10.2991/jnmp.2008.15.s3.29How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - C. Muriel AU - J. L. Romero PY - 2008 DA - 2008/10 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 - https://doi.org/10.2991/jnmp.2008.15.s3.29 ID - Muriel2008 ER -