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Chinese Physics, 2005, Vol. 14(5): 875-878    DOI: 10.1088/1009-1963/14/5/002
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Homotopy perturbation method of equatorial eastern Pacific for the El Niño-Southern Oscillation mechanism

Mo Jia-Qi (莫嘉琪)a, Lin Wan-Tao (林万涛)b
a Anhui Nornal University, Wuhu 241000, China; b Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
Abstract  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.
Keywords:  nonlinear      homotopic mapping      perturbation theory      El Niño-Southern oscillation model.  
Received:  22 September 2004      Revised:  31 December 2004      Accepted manuscript online: 
PACS:  92.10.am (El Nino Southern Oscillation)  
  92.10.Kp (Sea-air energy exchange processes)  
  93.30.Pm (Pacific Ocean)  
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 (莫嘉琪), Lin Wan-Tao (林万涛) Homotopy perturbation method of equatorial eastern Pacific for the El Niño-Southern Oscillation mechanism 2005 Chinese Physics 14 875

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