Lie symmetry structure of nonlinear wave equations in $(n+1)$-dimensional space-time

TL;DR

This paper investigates the Lie point symmetry structure of generalized nonlinear wave equations in (n+1)-dimensional space-time, aiming to classify symmetries and understand their implications for solutions.

Contribution

It provides a systematic analysis of the Lie symmetry structure for a broad class of nonlinear wave equations in higher-dimensional space-time.

Findings

Classification of Lie symmetries for nonlinear wave equations

Identification of symmetry reductions leading to exact solutions

Insights into invariance properties of the equations

Abstract

We study Lie point symmetry structure of generalized nonlinear wave equations in the $(n+1)$-dimensional space-time.