Symmetry Properties of Autonomous Integrating Factors

Details Symmetry Properties of Autonomous Integrating Factors Symmetry Properties of Autonomous Integrating Factors

2005-12-06

arxiv.org/abs/nlin/0512012v1

SIGMA 1 (2005), 024, 12 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.024

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.

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