中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2387-2390.doi: 10.1088/1009-1963/14/12/002

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The homotopic mapping method for sea--air oscillator model of interdecadal climate fluctuations

莫嘉琪1, 林一骅2, 王辉3   

  1. (1)Anhui Normal University, Wuhu 241000, China;Division of Computation Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China; (2)ASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; (3)Chinese Academy of Meteorological Sciences, Beijing 100081, China
  • 收稿日期:2005-06-25 修回日期:2005-08-10 出版日期:2005-12-20 发布日期:2005-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039),the State Key Development Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (Grant No KZCX3-SW-221), in part by E-Institutes of Shanghai Municipal Education Commission (Grant No N.E03004), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y604127).

The homotopic mapping method for sea--air oscillator model of interdecadal climate fluctuations

Mo Jia-Qi (莫嘉琪)ab, Lin Yi-Hua (林一骅)c, Wang Hui (王辉)d   

  1. a Anhui Normal University, Wuhu 241000, Chinab Division of Computation Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China; c ASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; d Chinese Academy of Meteorological Sciences, Beijing 100081, China
  • Received:2005-06-25 Revised:2005-08-10 Online:2005-12-20 Published:2005-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039),the State Key Development Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (Grant No KZCX3-SW-221), in part by E-Institutes of Shanghai Municipal Education Commission (Grant No N.E03004), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y604127).

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摘要： The El Ni\~{n}o/La Ni\~{n}a Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific ocean--atmosphere interactions. In this paper, a coupled system of sea--air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the ENSO model. And based on a class of oscillators of ENSO model, employing the method of homotopic mapping, the approximate solution of corresponding problem is studied. It is proven from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere--ocean oscillation for ENSO model.

关键词: nonlinear, homotopic mapping, El Ni\~{n}o-Southern oscillator model

Abstract: The El Ni?o/La Ni?a Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific ocean--atmosphere interactions. In this paper, a coupled system of sea--air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the ENSO model. And based on a class of oscillators of ENSO model, employing the method of homotopic mapping, the approximate solution of corresponding problem is studied. It is proven from the results that the homotopic method can be used for analysing 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, El Ni?o-Southern oscillator model

中图分类号:  (Climatology, climate change and variability)

  • 92.60.Ry
92.10.am (El Nino Southern Oscillation) 92.10.af (Thermohaline convection)