The group classification of one class of nonlinear wave equations

TL;DR

This paper presents a complete group classification of a specific class of nonlinear hyperbolic wave equations with two variables, advancing the understanding of their symmetry properties.

Contribution

It provides a comprehensive classification of symmetries for a class of quasilinear hyperbolic equations, filling a gap in the mathematical theory.

Findings

Complete group classification achieved

Identification of symmetry groups for the equations

Framework for analyzing similar nonlinear equations

Abstract

The problem of group classification of one class of quasilinear equations of hyperbolic type with two independent variables has been solved completely.