# Notes on Lie symmetry group methods for differential equations

## TL;DR

This paper surveys the fundamentals of Lie group methods and their extensive applications in solving ordinary and partial differential equations, providing numerous examples to illustrate their effectiveness.

## Contribution

It offers a comprehensive overview of Lie symmetry group methods and demonstrates their practical use in solving various differential equations.

## Key findings

- Lie group methods are widely applicable for differential equations.
- Numerous examples show the effectiveness of symmetry techniques.
- The survey highlights the importance of symmetry analysis in differential equations.

## Abstract

Fundamentals on Lie group methods and applications to differential equations are surveyed. Many examples are included to elucidate their extensive applicability for analytically solving both ordinary and partial differential equations.