Exact Invariant Solutions for Generalized Invicid Burgers' Equation with Damping

TL;DR

This paper applies Lie group analysis to a generalized inviscid Burgers' equation with damping, classifying seven inequivalent cases and deriving numerous exact and transformed solutions for each case.

Contribution

It provides a comprehensive classification of the equation's inequivalent forms and offers new exact solutions using symmetry analysis.

Findings

Seven inequivalent classes identified.

Multiple exact solutions derived for each class.

Enhanced understanding of the equation's solution structure.

Abstract

In this work we study the Lie group analysis of a generalized invicid Burgers' equations with damping. Seven inequivalent classes of this generalized equation were classified and many exact and transformed solutions were obtained for each class.