Approximate analytic solution of a class of atmosphere-ocean coupled oscillator mechanism for globe climate

Abstract

A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for globe climate is considered. By using the homotopic mapping method, a class of simplified nonlinear model is studied, and the approximate solution is obtained. The homotopic mapping is an analytic method, which gives solutions that can be analytically operated subsequently to show diversified qualitative and quantitative behaviors of corresponding physical quantities.