The Differential Form Method for Finding Symmetries

TL;DR

This paper reviews the differential form method combined with Lie derivatives for identifying symmetries in differential equations, highlighting its historical development, methodology, and recent applications.

Contribution

It provides a comprehensive overview of the differential form approach for symmetry analysis, including examples and references to recent research advancements.

Findings

The method effectively finds symmetries of differential equations.

Historical and recent applications demonstrate its versatility.

The approach simplifies symmetry detection in complex systems.

Abstract

This article reviews the use of differential forms and Lie derivatives to find symmetries of differential equations, as originally presented by Harrison and Estabrook, J. Math. Phys., 12 (1971), 653. An outline of the method is given, followed by examples and references to recent papers using the method.