Advances and Applications in Discrete Mathematics
Volume 18, Issue 1, Pages 71 - 86
(January 2017) http://dx.doi.org/10.17654/AADMJan2017_071_086 |
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THE INVARIANCE, CONSERVATION LAWS AND INTEGRATION OF SOME HIGHER-ORDER DIFFERENCE EQUATIONS
M. Folly-Gbetoula and A. H. Kara
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Abstract: We consider difference equations of order four and determine the one- parameter Lie group of transformations (Lie symmetries) that leave them invariant. We introduce a technique for finding their first integrals and discuss the association between the symmetries and first integrals as well as the notion of multipliers (related to conservation laws) for difference equations. |
Keywords and phrases: difference equations, symmetries, reduction, group invariant solutions. |
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