Second-Order Approximate Equations of the Large-Scale Atmospheric Motion Equations and Symmetry Analysis for the Basic Equations of Atmospheric Motion

In this paper, symmetry properties of the basic equations atmospheric motion are proposed. The results on symmetries show that invariant under space-time translation transformation, Galilean transformations and scaling transformations. Eight one-parameter subgroups eight group solutions demonstrated. Three types nontrivial similarity invariants With help perturbation method, we derive second-order approximate for large-scale equations, including non-dimensional dimensional equations. not only characteristics physical quantities changing with time, but also describe vertical motion.