Symmetry Analysis and Conservation Laws of some third-order Difference Equations

2017/01/22 by S. Mamba, Mamba, S., Mensah Folly-Gbetoula +3
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1701.06560

openalex publication_date 2017/01/22 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We derive a method for finding Lie Symmetries for third-order difference equations. We use these symmetries to reduce the order of the difference equations and hence obtain the solutions of some third-order difference equations. We also introduce a technique for obtaining their first integrals.

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