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)
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
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.
Received: 08 August 2007
Revised: 12 September 2007
Accepted manuscript online:
Fund: 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).
Cite this article:
Mo Jia-Qi(莫嘉琪) and Lin Wan-Tao(林万涛) The homotopic method of travelling wave solution for El Niño tropic sea--air coupled oscillator 2008 Chin. Phys. B 17 743
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