Solving the viscous Burger’s equation using three methods

Abstract

Burger's equation is one of the very few nonlinear partial differential equations, which can be solved exactly using transformations for arbitrary initial and boundary conditions. So we consider the analytical solution of Burger’s equation using three different methods, which are: the Cole-Hopf transformation, variational iteration method and Adomian decomposition method. And provide some examples to describe how we can solve this equation under different conditions.