Similarity Solutions of the Equations of Dynamical Meteorology via Symmetry Method

Abstract

Exact solutions of the system of equations for steady two-dimensional flow of an inviscid fluid with Coriolis term have been obtained by the symmetry method as developed by Steinberg. Solution for different forms of the Coriolis parameter have been indicated. Present study shows the usefulness of the symmetry method in generating the similarity solutions of a physical problem governed by the system of nonlinear partial differential equations. Though the present approach is quite involved, it is simple in concept and straightforward in application and helps in generating new solutions of the given problem.