Symmetries of 2+1-dimensional variable coefficient Burgers equations

Abstract

We consider a class of variable coefficient Burgers equations in 2+1 dimensions and make use of their equivalence group to give a complete symmetry classification up to equivalence. Equivalence group is also applied to pick out the most general equation transformable to its constant coefficient form. The infinite-dimensional symmetry is used to transform the equation to a one-dimensional one.This paper has been withdrawn due to a substantial change throughout. A revised version has been submitted and published as arXiv:1402.1941