Symmetry classification of third-order nonlinear evolution equations

TL;DR

This paper provides a classification of third-order nonlinear evolution equations based on their Lie point symmetries, aiding in understanding their structure and solution methods.

Contribution

It offers a Lie-algebraic classification of third-order quasilinear equations with non-trivial symmetries, which is a novel systematic approach.

Findings

Classification of equations based on symmetry properties

Identification of equations with non-trivial Lie symmetries

Framework for analyzing third-order nonlinear evolution equations

Abstract

We give a Lie-algebraic classification of third order quasilinear equations which admit non-trivial Lie point symmetries.