Symmetry Analysis of 2+1 dimensional Burgers equation with variable damping

TL;DR

This paper performs a symmetry classification of the 2+1 dimensional Burgers equation with variable damping, identifying its symmetry algebra and reducing it to simpler forms through similarity transformations.

Contribution

It provides a comprehensive symmetry analysis and classification of subalgebras for the variable coefficient Burgers equation, enabling systematic reductions.

Findings

Symmetry algebra of the equation is explicitly determined.

Classification of subalgebras up to conjugacy is achieved.

Similarity reductions are systematically performed for each class.

Abstract

The symmetry classification of the two dimensional Burgers equation with variable coefficient is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class.