中国物理B ›› 2005, Vol. 14 ›› Issue (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 Ni?o-Southern Oscillation mechanism　　　　　　

莫嘉琪1, 林万涛2   

  1. (1)Anhui Nornal University, Wuhu 241000, China; (2)Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2004-09-22 修回日期:2004-12-31 出版日期:2005-05-19 发布日期:2005-05-19
  • 基金资助:
    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)

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   

  1. a Anhui Nornal University, Wuhu 241000, China; b Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2004-09-22 Revised:2004-12-31 Online:2005-05-19 Published:2005-05-19
  • Supported by:
    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)

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摘要： 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.

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.

Key words: nonlinear, homotopic mapping, perturbation theory, El Niño-Southern oscillation model.

中图分类号:  (El Nino Southern Oscillation)

  • 92.10.am
92.10.Kp (Sea-air energy exchange processes) 93.30.Pm (Pacific Ocean)