Open Access
2014 Symmetries, Associated First Integrals, and Double Reduction of Difference Equations
L. Ndlovu, M. Folly-Gbetoula, A. H. Kara, A. Love
Abstr. Appl. Anal. 2014(SI37): 1-6 (2014). DOI: 10.1155/2014/490165


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 are associated via 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.


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L. Ndlovu. M. Folly-Gbetoula. A. H. Kara. A. Love. "Symmetries, Associated First Integrals, and Double Reduction of Difference Equations." Abstr. Appl. Anal. 2014 (SI37) 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022476
MathSciNet: MR3246336
Digital Object Identifier: 10.1155/2014/490165

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI37 • 2014
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