Homotopic mapping method of solution for the sea-air oscillator model of decadal variations in subtropical cells and equatorial pacific

A time delay equation for sea-air oscillator model is studied. We aim at the cre ateion of an approximate method for solving sea-air oscillator model of nonlinea r equation, employing the theory of homotopic mapping, with due colisideration o f the approximate solution of the corresponding problem. This is an approximate analytical method, which can be further used for analyzing other behaviors of th e sea surface temperature anomaly of the atmosphere-ocean oscillator model.