Similarity Solutions For The Complex Burgers' Hierarchy

Abstract

A detailed analysis of the invariant point transformations for the first four partial differential equations which belong to the Complex Burgers` Hierarchy is performed. Moreover, a detailed application of the reduction process through the Lie point symmetries is presented while we construct similarity solutions. We conclude that the differential equations of our consideration are reduced to first-order equations such as the Abel, Riccati and to a linearisable second-order differential equation by using similarity transformations.