Asymptotic solution for a class of sea--air oscillator model for El Nino--southern oscillation
Mo Jia-Qi(莫嘉琪)a)b)c) and Lin Wan-Tao(林万涛)d)†
a Anhui Normal University, Wuhu 241000, China; bDivision of Computational Science, E-Institutes of Shanghai Universities, at Shanghai Jiaotong University, Shanghai 200240, China; cHuzhou Teachers College, Huzhou 313000, China; d LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
Abstract The El Niño--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 used. And based on a class of oscillator of ENSO model, the approximate solution of a corresponding problem is studied by employing the perturbation method. Firstly, an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced, Secondly, by using the perturbed method, the zeroth and first order asymptotic perturbed solutions are constructed. Finally, from the comparison of the values for a figure, it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy. And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model.
Received: 17 April 2007
Revised: 15 May 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 40676016 and
10471039), the State Key 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 partly by
E-Institutes of Shanghai Municipal Education Commission (Grant No
N.E03004), and the Natural Science Foundation of Zhejiang Province,
China (Grant No Y606268).
Cite this article:
Mo Jia-Qi(莫嘉琪) and Lin Wan-Tao(林万涛) Asymptotic solution for a class of sea--air oscillator model for El Nino--southern oscillation 2008 Chin. Phys. B 17 370
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