SAINT VENANT EQUATIONS: AN ATTEMPT TO MODEL A TSUNAMI WAVE PROPAGATION

By means of the homotopy analysis method, the solution of the unidimensional Saint Venant equations are obtained in this paper. These equations are a commonly accepted governing approximation for Tsunami wave propagation in the deep ocean as well as near-shore regions which include inundations. The dependent variables are the fluid heigh and the fluid velocity field. Analytical results agree well with the basic features of the tsunami waves. Numerical results are also presented and shown graphically.