Symmetry, reductions and exact solutions of systems of difference equations

TL;DR

This paper uses symmetry and invariance techniques to analyze systems of difference equations, deriving non-trivial symmetries and obtaining their exact solutions.

Contribution

It introduces a method to identify symmetries in difference equations and finds exact solutions using these symmetries, advancing analytical approaches in discrete systems.

Findings

Derived non-trivial symmetries for difference systems

Obtained exact solutions using symmetry methods

Enhanced understanding of discrete system invariances

Abstract

We apply symmetry and invariance methods to analyse systems of difference equations. Non trivial symmetries are derived and their exact solutions obtained.