中国地理科学(英文版) ›› 2010, Vol. 20 ›› Issue (3): 275-280.doi: 10.1007/s11769-010-0275-x

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Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator

WEN Zhaohui1, LIN Wantao2, LIN Yihua2, MO Jiaqi3,4   

  1. 1. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, China;
    2. State Key Laboratory of Numerical Modeling for Atmospheric and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
    3. Anhui Normal University, Wuhu 241000, China;
    4. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong Uinversity, Shanghai 200240, China
  • 收稿日期:2009-12-25 修回日期:2010-02-21 出版日期:2010-04-01 发布日期:2010-04-23
  • 通讯作者: MO jiaqi.E-mail:mojiaqi@mail.ahnu.edu.cn E-mail:mojiaqi@mail.ahnu.edu.cn
  • 基金资助:

    Under the auspices of National Natural Science Foundation of China (No.40876010);Main Direction Program of Knowledge Innovation Programs of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry (meteorology) (No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of E-Institutes of Shanghai Municipal Education Commission (No.E03004);Natural Science Foundation of Zhejiang Province (No.Y6090164)

Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator

WEN Zhaohui1, LIN Wantao2, LIN Yihua2, MO Jiaqi3,4   

  1. 1. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, China;
    2. State Key Laboratory of Numerical Modeling for Atmospheric and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
    3. Anhui Normal University, Wuhu 241000, China;
    4. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong Uinversity, Shanghai 200240, China
  • Received:2009-12-25 Revised:2010-02-21 Online:2010-04-01 Published:2010-04-23
  • Supported by:

    Under the auspices of National Natural Science Foundation of China (No.40876010);Main Direction Program of Knowledge Innovation Programs of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry (meteorology) (No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of E-Institutes of Shanghai Municipal Education Commission (No.E03004);Natural Science Foundation of Zhejiang Province (No.Y6090164)

摘要:

El Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. An asymptotic method of solving equations for the ENSO model is proposed. Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration, the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied. Firstly, by introducing a set of functionals and computing the variationals, the Lagrange multipliers are obtained. And then, the generalized variational iteration expressions are constructed. Finally, by selecting appropriate initial iteration, and from the iterations expressions, the approximations of solution for the sea-air oscillator ENSO model are solved successively. The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied. It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for ENSO model.

关键词: El Niñ, o-Southern Oscillator model, variational iteration, sea-air oscillator

Abstract:

El Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. An asymptotic method of solving equations for the ENSO model is proposed. Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration, the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied. Firstly, by introducing a set of functionals and computing the variationals, the Lagrange multipliers are obtained. And then, the generalized variational iteration expressions are constructed. Finally, by selecting appropriate initial iteration, and from the iterations expressions, the approximations of solution for the sea-air oscillator ENSO model are solved successively. The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied. It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for ENSO model.

Key words: El Niñ, o-Southern Oscillator model, variational iteration, sea-air oscillator