Document Zbl 1371.39007

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The invariance, conservation laws and integration of some higher-order difference equations. (English) Zbl 1371.39007

Adv. Appl. Discrete Math. 18, No. 1, 71-86 (2017).

Summary: 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.

Cited in 1 Document

MSC:

39A10	Additive difference equations
39A12	Discrete version of topics in analysis

Keywords:

difference equations; symmetries; reduction; group invariant solutions

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