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arXiv · 1606.02498

The Invariance and Conservation Laws of fourth-order Difference Equations

Mensah Folly-Gbetoula·Abdul 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.

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Mensah Folly-Gbetoula, Abdul Kara. 2016-06-08. The Invariance and Conservation Laws of fourth-order Difference Equations. https://arxiv.org/abs/1606.02498

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