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Volume 12 Issue 4

Oct.  1995

Article Contents
Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 1995 >  12(4): 439-448

Propagation of Envelope Solitons in Baroclinic Atmosphere

  • 1.

    Department of Geophysics, Peking University, Beijing 100871,Jiangsu Meteorological Observatory, Nanjing 210008


doi: 10.1007/BF02657004

  • The propagation of finite amplitude baroclinic wave packets in the two-layer model is investigated by using the multiple-scale method. It is shown that the propagation of the wave packets can be described by the so-called unstable nonlinear Schrodinger equation which possesses envelope soliton solutions. The speeds of the solitons are in-dependent of their amplitudes, while the width of the solitons is directly proportional to their speeds but inversely pro-portional to their amplitudes.
  • [1] Yuan-Bing ZHAO, X. San LIANG, 2019: Charney's Model——the Renowned Prototype of Baroclinic Instability——Is Barotropically Unstable As Well, ADVANCES IN ATMOSPHERIC SCIENCES, , 733-752.  doi: 10.1007/s00376-019-8189-8
    [2] Xiang Jie, Sun Litan, 2002: Nonlinear Saturation of Baroclinic Instability in the Phillips Model: The Case of Energy, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 1079-1090.  doi: 10.1007/s00376-002-0066-0
    [3] MENG Xiangfeng, WU Dexing, LIN Xiaopei, LAN Jian, 2006: A Further Investigation of the Decadal Variation of ENSO Characteristics with Instability Analysis, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 156-164.  doi: 10.1007/s00376-006-0016-3
    [4] Ki-Young HEO, Kyung-Ja HA, 2008: Snowstorm over the Southwestern Coast of the Korean Peninsula Associated with the Development of Mesocyclone over the Yellow Sea, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 765-777.  doi: 10.1007/s00376-008-0765-2
    [5] Zheng Weizhong, Yu Zhihao, 1987: THE EFFECTS OF FRICTION AND HEATING OF CONVECTTVE CONDENSATION IN THE BAROCLINIC INSTABILITY PROBLEM, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 447-459.  doi: 10.1007/BF02656744
    [6] Li Yang, 2000: Baroclinic Instability in the Generalized Phillips’ Model Part II: Three-layer Model, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 413-432.  doi: 10.1007/s00376-000-0033-6
    [7] Li Yang, Mu Mu, 1996: Baroclinic Instability in the Generalized Phillips’ Model Part I: Two-layer Model, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 33-42.  doi: 10.1007/BF02657026
    [8] Fei Jianfang, Lu Hancheng, 1996: Study on Instability in Baroclinic Vortex Symmetric Disturbance under Effect of Nonuniform Environmental Parameters, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 461-470.  doi: 10.1007/BF03342037
    [9] Guoqing Li, Robin Kung, Richard L. Pfeffer, 1992: A Fluid Experiment of Large-Scale Topography Effect on Baroclinic Wave Flows, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 17-28.  doi: 10.1007/BF02656926
    [10] Zhang Xuehong, Zeng Qingcun, Bao Ning, 1986: NONLINEAR BAROCLINIC HAURWITZ WAVES, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 330-340.  doi: 10.1007/BF02678653
    [11] Ren Shuzhan, 1991: New Approach to Study the Evolution of Rossby Wave Packet, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 79-86.  doi: 10.1007/BF02657366
    [12] Yong. L. McHall, 1992: Nonlinear Planetary Wave Instability and Blocking, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 173-190.  doi: 10.1007/BF02657508
    [13] Na LI, Lingkun RAN, Shouting GAO, 2016: The Impact of Deformation on Vortex Development in a Baroclinic Moist Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 233-246.  doi: 10.1007/s00376-015-5082-y
    [14] Liu Qinyu, Qin Zenghao, 1986: DYNAMICS OF NONLINEAR BAROCLINIC EKMAN BOUNDARY LAYER, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 424-431.  doi: 10.1007/BF02657932
    [15] Xie Yibing, 1984: OBSERVATIONAL AND THEORETICAL STUDIES OF THE MOIST BAROCLINIC ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 1, 141-164.  doi: 10.1007/BF02678127
    [16] Lu Peisheng, 1992: The Structure and Propagation of Stationary Planetary Wave Packet in the Barotropic Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 157-166.  doi: 10.1007/BF02657506
    [17] Liu Xuanfei, Zhu Qiangen, Guo Pinwen, 2000: Conversion Characteristics between Barotropic and Baroclinic Circulations of the SAH in Its Seasonal Evolution, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 129-139.  doi: 10.1007/s00376-000-0049-y
    [18] Jiayi PENG, Melinda S. PENG, Tim LI, Eric HENDRICKS, 2014: Effect of Baroclinicity on Vortex Axisymmetrization. Part II: Baroclinic Basic Vortex, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1267-1278.  doi: 10.1007/s00376-014-3238-9
    [19] He Jianzhong, 1993: Linear Momentum Approximation and Frontogenesis Caused by Baroclinic Ekman Momentum Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 103-112.  doi: 10.1007/BF02656958
    [20] Mu Mu, Xiang Jie, 1998: On the Evolution of Finite-amplitude Disturbance to the Barotropic and Baroclinic Quasigeostrophic Flows, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 113-123.  doi: 10.1007/s00376-998-0023-7
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    • Manuscript History

    Manuscript received: 10 October 1995
    Manuscript revised: 10 October 1995
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

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    Propagation of Envelope Solitons in Baroclinic Atmosphere

    • 1. Department of Geophysics, Peking University, Beijing 100871,Jiangsu Meteorological Observatory, Nanjing 210008
    • Manuscript received: 1995-10-10
    • Manuscript revised: 1995-10-10

    Abstract: The propagation of finite amplitude baroclinic wave packets in the two-layer model is investigated by using the multiple-scale method. It is shown that the propagation of the wave packets can be described by the so-called unstable nonlinear Schrodinger equation which possesses envelope soliton solutions. The speeds of the solitons are in-dependent of their amplitudes, while the width of the solitons is directly proportional to their speeds but inversely pro-portional to their amplitudes.

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