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一类海-气耦合振子模型行波解的渐近解法

石兰芳 欧阳成 莫嘉琪

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一类海-气耦合振子模型行波解的渐近解法

石兰芳, 欧阳成, 莫嘉琪

The asymptotic solving methodof traveling wave solution to a class of sea-air coupled oscillator model

SHI Lan-Fang, Ouyang Cheng, Mo Jia-Qi
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  • 热带海-气振子是一个复杂的自然现象. 本文是对一个海气耦合振子模型, 利用一个待定系数和摄动理论相结合的新方法, 得到了相应模型的行波渐近解.
    The tropical sea-air oscillator is a complicated natural phenomenon. In this paper, based on a sea-air oscillator model, by a new method of combining the undetermined coefficients with the perturbation theory the asymptotic traveling wave solution of the corresponding model is obtained.
    • 基金项目: 国家自然科学基金(批准号: 1107120), 中国科学院战略性先导科技专项-应对气候变化的碳收支认证及相关问题(批准号: XDA01020304), 浙江省自然科学基金(批准号: Y6110502), 江苏省自然科学基金项目(批准号: BK2011042)和安徽高校省级自然科学研究项目(批准号: KJ2011A135)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 1107120), the Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues of the Chinese Academy of Sciences (Grant No. XDA01020304), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), the Natural Science Foundation of Jiangsu Province (Grant No. BK2011042), and the Natural Science Foundation from the Education Bureau of Anhui Province, China (Grant No. KJ2011A135).
    [1]

    McWilliams J C, Gent P R 1991 J. Atmos. Sci. 35 962

    [2]

    Hu Yinqiao 2002 Introduction to AtmosphericTthermodynamics (in Chinese) (Beijing: Geosci. Press, China)

    [3]

    Philander S G H, Yamagata T, Pacanowski R C 1984 J. Atmos. Sci. 41 604

    [4]

    Gill A E 1985 Coupled Ocean-Atmosphere Models 40 303

    [5]

    Jin F F, Neelin J D 1993 J. Atmos. Sci 50 3523

    [6]

    Jin F F, Neelin J D, Ghil M 1994 Science 264 70

    [7]

    Wang B, Wang Y 1996 J. Climate. 9 1586

    [8]

    Bjerknes J 1966 Tellus 18 820

    [9]

    Cane M A, M黱nich M, Zebiak S E 1990 J. Atmos. Sci. 47 1562

    [10]

    Wang B, Barcilon A, Fang Z 1999 J. Atmos. Sci. 56 5

    [11]

    Wang C 2001 Adv. Atmospheric Sci. 18 674

    [12]

    Lin W T, Mo J Q 2003 Chinese Science Bulletin 48 5

    [13]

    Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Acta Oceanologica Sin. 28 1

    [14]

    Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603

    [15]

    Zhou X C, Lin W T, Lin Y H, Mo J Q 2010 Acta. Phys. Sin. 59 2173 (in Chinese)

    [16]

    Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624

    [17]

    Mo J Q, Lin W T, Lin Y H 2010 Chin. Geographical Sci. 20 383

    [18]

    Mo J Q, Lin Y H, Lin W T 2010 Acta. Phys. Sin. 59 6701 (in Chinese)

    [19]

    Xie F, Lin W T, Lin Y H, Mo J Q 2011 Chin. Phys. B 20 010208

    [20]

    Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG.)

    [21]

    D'Aprile T, Pistoia A 2010 J. Differ. Eqns. 248 556

    [22]

    Ei Shin-Ichiro, Matsuzawa H 2010 Discrete Contin. Dyn. Syst 26 910

    [23]

    Suzuki R 2010 Adv. Differ. Eqns. 15 283

    [24]

    Mo J Q 2009 Science in China, Ser. G 52 1007

    [25]

    Mo J Q, Yao J S, Tang R R Commun. Theor. Phys. 54 27

    [26]

    Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203

    [27]

    Xie F, Lin W T, Lin Y H, Mo J Q 2011 Acta. Phys. Sin. 60 010201 (in Chinese)

    [28]

    Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203

    [29]

    de Jager E M, Jiang Furu 1966 The Theory of Singular Perturbation, (Amsterdam: North- Holland Publishing Co.)

    [30]

    Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauser Verlag AG)

  • [1]

    McWilliams J C, Gent P R 1991 J. Atmos. Sci. 35 962

    [2]

    Hu Yinqiao 2002 Introduction to AtmosphericTthermodynamics (in Chinese) (Beijing: Geosci. Press, China)

    [3]

    Philander S G H, Yamagata T, Pacanowski R C 1984 J. Atmos. Sci. 41 604

    [4]

    Gill A E 1985 Coupled Ocean-Atmosphere Models 40 303

    [5]

    Jin F F, Neelin J D 1993 J. Atmos. Sci 50 3523

    [6]

    Jin F F, Neelin J D, Ghil M 1994 Science 264 70

    [7]

    Wang B, Wang Y 1996 J. Climate. 9 1586

    [8]

    Bjerknes J 1966 Tellus 18 820

    [9]

    Cane M A, M黱nich M, Zebiak S E 1990 J. Atmos. Sci. 47 1562

    [10]

    Wang B, Barcilon A, Fang Z 1999 J. Atmos. Sci. 56 5

    [11]

    Wang C 2001 Adv. Atmospheric Sci. 18 674

    [12]

    Lin W T, Mo J Q 2003 Chinese Science Bulletin 48 5

    [13]

    Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Acta Oceanologica Sin. 28 1

    [14]

    Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603

    [15]

    Zhou X C, Lin W T, Lin Y H, Mo J Q 2010 Acta. Phys. Sin. 59 2173 (in Chinese)

    [16]

    Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624

    [17]

    Mo J Q, Lin W T, Lin Y H 2010 Chin. Geographical Sci. 20 383

    [18]

    Mo J Q, Lin Y H, Lin W T 2010 Acta. Phys. Sin. 59 6701 (in Chinese)

    [19]

    Xie F, Lin W T, Lin Y H, Mo J Q 2011 Chin. Phys. B 20 010208

    [20]

    Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG.)

    [21]

    D'Aprile T, Pistoia A 2010 J. Differ. Eqns. 248 556

    [22]

    Ei Shin-Ichiro, Matsuzawa H 2010 Discrete Contin. Dyn. Syst 26 910

    [23]

    Suzuki R 2010 Adv. Differ. Eqns. 15 283

    [24]

    Mo J Q 2009 Science in China, Ser. G 52 1007

    [25]

    Mo J Q, Yao J S, Tang R R Commun. Theor. Phys. 54 27

    [26]

    Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203

    [27]

    Xie F, Lin W T, Lin Y H, Mo J Q 2011 Acta. Phys. Sin. 60 010201 (in Chinese)

    [28]

    Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203

    [29]

    de Jager E M, Jiang Furu 1966 The Theory of Singular Perturbation, (Amsterdam: North- Holland Publishing Co.)

    [30]

    Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauser Verlag AG)

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计量
  • 文章访问数:  6155
  • PDF下载量:  655
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-09-24
  • 修回日期:  2011-11-02
  • 刊出日期:  2012-06-05

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