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Chin. Phys. B, 2008, Vol. 17(3): 743-746    DOI: 10.1088/1674-1056/17/3/001
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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, ChinabHuzhou Teachers College, Huzhou 313000, ChinaDivision 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.
Keywords:  El Ni?o-Southern oscillator model      nonlinear      homotopic mapping      sea--air oscillator  
Received:  08 August 2007      Revised:  12 September 2007      Accepted manuscript online: 
PACS:  92.10.am (El Nino Southern Oscillation)  
  92.10.Hm (Ocean waves and oscillations)  
  92.10.Kp (Sea-air energy exchange processes)  
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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