The homotopic method of travelling wave solution for El Niño tropic sea--air coupled oscillator

The EI Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea--air interactions. In this paper, an asymptotic method of solving nonlinear equations for the ENSO model is proposed. And based on a class of oscillator of the ENSO model and by employing the method of homotopic mapping, the approximate solution of equations for the corresponding ENSO model is studied. It is proved from the results that homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial Pacific of the sea--air oscillator for the ENSO model.