Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation  

作　　者：莫嘉琪 林万涛 

机构地区：[1]Anhui Normal University [2]Division of Computational Science,E-Institutes of Shanghai Universities,at Shanghai Jiaotong University [3]Huzhou Teachers College [4]LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences

出　　处：《Chinese Physics B》2008年第2期370-372,共3页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 10471039);the State KeyProgram 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 NoN.E03004);the Natural Science Foundation of Zhejiang Province,China (Grant No Y606268)

摘　　要：The El Nifio-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere 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.The El Nifio-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere 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.

关 键 词：NONLINEAR perturbation method El Nin^o～Southern Oscillation Model 

分 类 号：P732[天文地球—海洋科学]