中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1927-1931.doi: 10.1088/1009-1963/15/9/004

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Homotopic method of solving a class of E1 Ni?o/La Ni?a-Southern Oscillation sea--air oscillator

莫嘉琪1, 王辉2, 林万涛3   

  1. (1)Anhui Normal University, Wuhu 241000, China;Division of Computational Science, E-Institutes of Shanghai Universities,at Shanghai Jiaotong University, Shanghai 200240, China; (2)Chinese Academy of Meteorological Sciences, Beijing 100081, China; (3)LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2006-02-17 修回日期:2006-05-22 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039), the State Key Program for Basics Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (Grant No KZCX3-SW-221) and partly by E-Institutes of Shanghai Municipal Education Commission of China (Grant No N.E03004).

Homotopic method of solving a class of E1 Niño/La Niña-Southern Oscillation sea--air oscillator

Mo Jia-Qi(莫嘉琪)a)b)†, Wang Hui(王辉)c), and Lin Wan-Tao(林万涛)d)   

  1. a Anhui Normal University, Wuhu 241000, China; b Division of Computational Science, E-Institutes of Shanghai Universities, at Shanghai Jiaotong University, Shanghai 200240, China; c Chinese Academy of Meteorological Sciences, Beijing 100081, China; d LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2006-02-17 Revised:2006-05-22 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039), the State Key Program for Basics Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (Grant No KZCX3-SW-221) and partly by E-Institutes of Shanghai Municipal Education Commission of China (Grant No N.E03004).

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摘要： The EI Ni?/La Ni?a-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Ocean--atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is created. And based on a class of oscillator of the ENSO model, the approximate solution of a corresponding problem is studied by employing the method of homotopic mapping. It is proved 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 the ENSO model.

Abstract: The EI Niño/La Niña-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Ocean--atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is created. And based on a class of oscillator of the ENSO model, the approximate solution of a corresponding problem is studied by employing the method of homotopic mapping. It is proved 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 the ENSO model.

Key words: nonlinear, homotopic theory, El Niño/La Niño-Southern Oscillation model

中图分类号:  (Entanglement measures, witnesses, and other characterizations)

  • 03.67.Mn
03.65.Ud (Entanglement and quantum nonlocality)