STUDY FOR EARTHATMOSPHERE COUPLED DYNAMICAL SYSTEM

A class of nonlinear coupling system for earth-atmosphere oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the earth-atmosphere oscillator model. Using the variatio n al iteration method, the approximate expansions of the solution of corresponding problem are constructed. That is, firstly, introducing a set of functionals and culculating their variationals, the Lagrange multiplicators are computed, and then the variational iteriation is defined, finally, the uniformly convergent approx imate expressions of the solution for the original nonlinear problem for the earth-atmosphere oscillator model are obtained.