Homotopy perturbation method of equatorial eastern Pacific for the El Niño-Southern Oscillation mechanism

The EI Niño/La Niña and the Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Ocean- atmosphere interactions. In this paper, the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models. And based on a class of oscillator of ENSO models, employing the method of homotopic mapping, the approximation solution of corresponding problem is studied. It is proved from the results that homotopic method can be used for analyzing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model.