Approximate analytical solution for the systems of variable-coefficient coupled Burgers' equation

In this paper, Laplace transform and new homotopy perturbation methods are adopted to study variable coefficient coupled Burgers' equation analytically. Unlike the previous approach (NHPM) implemented by the present author for these problems, the present method does not consider the initial approximation as a power series. The method is tested on two examples and results show that new method is more effective and convenient to use and high accuracy of it is evident.