$\lambda$-symmetries for discrete equations

TL;DR

This paper extends the concept of $$-symmetries from differential equations to difference equations, providing a new framework for analyzing discrete systems.

Contribution

It introduces the concept of $$-symmetries for difference equations, adapting a known symmetry method from differential equations to the discrete case.

Findings

Demonstrates the application of $$-symmetries to specific difference equations

Provides examples illustrating the usefulness of the new symmetry concept

Establishes a foundation for further research in symmetry analysis of discrete systems

Abstract

Following the usual definition of $\lambda$-symmetries of differential equations, we introduce the analogous concept for difference equations and apply it to some examples.