Abstract The EI Ni?o/La Ni?a 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.
Received: 22 September 2004
Revised: 31 December 2004
Published: 19 May 2005
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 90211004 and 10471039) and by the Natural Science Foundation of Zhejiang Province, China (Grant No. 102009)
Cite this article:
Mo Jia-Qi, Lin Wan-Tao Homotopy perturbation method of equatorial eastern Pacific for the El Ni?o-Southern Oscillation mechanism 2005 Chin. Phys. 14 875