Symmetries and Solvability of a Class of Higher Order Systems of Ordinary Difference Equations

Abstract

We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore, a detailed study for a specific value of k is presented. Our findings generalize some results in the literature.

Keywords

• difference equations
• symmetry
• exact solutions