Symmetry Properties of Autonomous Integrating Factors
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
math.MP
Abstract
We study the symmetry properties of autonomous integrating factors from an algebraic point of view. The symmetries are delineated for the resulting integrals treated as equations and symmetries of the integrals treated as functions or configurational invariants. The succession of terms (pattern) is noted. The general pattern for the solution symmetries for equations in the simplest form of maximal order is given and the properties of the associated integrals resulting from this analysis are given.
Keywords
Cite
@article{arxiv.nlin/0512012,
title = {Symmetry Properties of Autonomous Integrating Factors},
author = {Sibusiso Moyo and P. G. L. Leach},
journal= {arXiv preprint arXiv:nlin/0512012},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/