$\lambda$-symmetries and Jacobi Last Multiplier

TL;DR

This paper demonstrates how $\lambda$-symmetries can be systematically derived using the Jacobi last multiplier, providing a new method for analyzing differential equations.

Contribution

It introduces a novel algorithmic approach to obtain $\lambda$-symmetries via the Jacobi last multiplier, enhancing symmetry analysis techniques.

Findings

$\lambda$-symmetries can be derived from the Jacobi last multiplier

The method is illustrated with multiple examples

The approach simplifies symmetry detection in differential equations

Abstract

We show that $\lambda$-symmetries can be algorithmically obtained by using the Jacobi last multiplier. Several examples are provided.