中国物理B ›› 2008, Vol. 17 ›› Issue (3): 743-746.doi: 10.1088/1674-1056/17/3/001

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The homotopic method of travelling wave solution for El Ni?o tropic sea--air coupled oscillator

莫嘉琪1, 林万涛2   

  1. (1)Anhui Normal University, Wuhu 241000, China;Division of Computational Science, E-Institutes of Shanghai Universities, at Shanghai Jiaotong University, Shanghai 200240, China;Huzhou Teachers College, Huzhou 313000, China; (2)LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2007-08-08 修回日期:2007-09-12 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40679016 and 10471039), the State Key Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Basic Research Foundation of the Chinese Academy of Sciences, China (Grant No KZCX3-SW-221), partially by E-Institutes of Shanghai Municipal Education Commission of China (Grant No N.E03004) and the Natural Science Foundation of Zhejiang Province, China (Grant No Y60628).

The homotopic method of travelling wave solution for El Niño tropic sea--air coupled oscillator

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

  1. a Anhui Normal University, Wuhu 241000, China; bHuzhou Teachers College, Huzhou 313000, China; c Division of Computational Science, E-Institutes of Shanghai Universities, at Shanghai Jiaotong University, Shanghai 200240, China; d LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2007-08-08 Revised:2007-09-12 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40679016 and 10471039), the State Key Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Basic Research Foundation of the Chinese Academy of Sciences, China (Grant No KZCX3-SW-221), partially by E-Institutes of Shanghai Municipal Education Commission of China (Grant No N.E03004) and the Natural Science Foundation of Zhejiang Province, China (Grant No Y60628).

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摘要： The EI Ni?o and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea--air interactions. In this paper, an asymptotic method of solving nonlinear equations for the ENSO model is proposed. And based on a class of oscillator of the ENSO model and by employing the method of homotopic mapping, the approximate solution of equations for the corresponding ENSO model is studied. It is proved from the results that homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial Pacific of the sea--air oscillator for the ENSO model.

关键词: El Ni?o-Southern oscillator model, nonlinear, homotopic mapping, sea--air oscillator

Abstract: The EI Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea--air interactions. In this paper, an asymptotic method of solving nonlinear equations for the ENSO model is proposed. And based on a class of oscillator of the ENSO model and by employing the method of homotopic mapping, the approximate solution of equations for the corresponding ENSO model is studied. It is proved from the results that homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial Pacific of the sea--air oscillator for the ENSO model.

Key words: El Ni?o-Southern oscillator model, nonlinear, homotopic mapping, sea--air oscillator

中图分类号:  (El Nino Southern Oscillation)

  • 92.10.am
92.10.Hm (Ocean waves and oscillations) 92.10.Kp (Sea-air energy exchange processes)