| Asymptotic solution for a class of sea-air oscillator model for El Nin^～o-southern oscillation |
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| 引用本文： | 莫嘉琪,林万涛.Asymptotic solution for a class of sea-air oscillator model for El Nin^～o-southern oscillation[J].中国物理 B,2008,17(2):370-372. |
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| 作者姓名： | 莫嘉琪 林万涛 |
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| 作者单位： | 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;LASG, Institute of Atmospheric Physics, Chinese Academy
of Sciences, Beijing 100029, China |
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| 基金项目： | 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). |
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| 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.
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| 关 键 词： | 非线性 扰动法 镍 振荡器 |
| 收稿时间： | 2007-04-17 |
| 修稿时间： | 2007-05-15 |
Asymptotic solution for a class of sea--air oscillator model for El Nino--southern oscillation |
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| Mo Jia-Qi and Lin Wan-Tao.Asymptotic solution for a class of sea--air oscillator model for El Nino--southern oscillation[J].Chinese Physics B,2008,17(2):370-372. |
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| Authors: | Mo Jia-Qi and Lin Wan-Tao |
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| Institution: | 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; LASG, Institute of Atmospheric Physics, Chinese Academy
of Sciences, Beijing 100029, China |
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| Abstract: | The El Ni\~{n}o--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. |
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| Keywords: | nonlinear perturbation method El Ni\~{n}o-Southern Oscillation Model |
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