Affiliation:
1. School of Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
Abstract
We determine the symmetry generators of some ordinary difference equations and proceeded to find the first integral and reduce the order of the difference equations. We show that, in some cases, the symmetry generator and first integral areassociatedvia the “invariance condition.” That is, the first integral may be invariant under the symmetry of the original difference equation. When this condition is satisfied, we may proceed to double reduction of the difference equation.
Subject
Applied Mathematics,Analysis
Cited by
6 articles.
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