Application of Homotopy and Variational Iteration Methods to the Atmospheric Internal Waves Model

Atmospheric internal waves can be represented by a nonlinear system of partial differential equation (PDE) under shallow-fluid assumption. In this paper, we exploited the homotopy analysis method (HAM) and variational iteration method (VIM) to obtain an approximate analytical solutions of the system. The results of both methods are then compared with numerical method. It is shown that both HAM and VIM are efficient in approximating the numerical solutions.