Study on Atmospheric Internal Waves Phenomenon Model by Variational Iteration Transform Method

The primary objective of this research is to investigate internal waves within the atmosphere that manifest within the fluid itself rather than on its surface. The study employs a mathematical model grounded in the shallow fluid hypothesis, resulting in a coupled nonlinear system of partial differential equations. In this shallow flow model, a key assumption is that the vertical dimensions are considerably smaller than the horizontal dimensions. This assumption is particularly valuable as it allows the model to faithfully replicate atmospheric internal waves, which tend to disperse over a vast horizontal expanse. A semi-analytical technique known as the variational iteration transform method is successfully implemented. Notably, this method yields an approximate analytical solution in the form of a convergent series without resorting to linearization, perturbation, or unnecessary term calculations. To test the effectiveness and accuracy of the proposed method, obtained results are compared with another method.