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

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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… Click to show full 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: symmetries solvability; higher order; solvability class; difference equations

Journal Title: Symmetry
Year Published: 2022

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