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Volume 6 Issue 4

Oct.  1989

Article Contents

The Solitary Wave of Barotropic Atmosphere on a Sphere


doi: 10.1007/BF02659079

  • In this paper, we have investigated large scale disturbance in barotropic atmosphere on a sphere. It demonstrates that: considering nonlinear effects of interaction between waves in barotropic vorticity equation, the wave packet of the disturbance is governed by the famous equation-nonlinear Schrodinger equation. For the solitary wave, two fac-tors are very important: one is spherical effect of the disturbance and the other is meridional shear of blocking high. In comparison with the results of local Cartesian coordinates, the former factor is the individuality of spherical soliton.
  • [1] Luo Dehai, Ji Liren, 1988: ALGEBRAIC ROSSBY SOLITARY WAVE AND BLOCKING IN THE ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 445-454.  doi: 10.1007/BF02656790
    [2] Zhang Xuehong, 1985: THE SECOND ORDER APPROXIMATION TO THE NONLINEAR WAVE IN BAROTROPIC ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 2, 167-177.  doi: 10.1007/BF03179749
    [3] 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
    [4] Chen Zhongming, Liu Fuming, Li Xiaoping, Tao Jie, 1994: Oscillatory Rossby Solitary Waves in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 65-73.  doi: 10.1007/BF02656995
    [5] R. Dhar, C. Guha-Roy, D. K. Sinha, 1991: On a Class of Solitary Wave Solutions of Atmospheric Nonlinear Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 357-362.  doi: 10.1007/BF02919618
    [6] Chen Jiong, Liu Shikuo, 1998: The Solitary Waves of the Barotropic Quasi-Geostrophic Model with the Large-scale Orography, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 404-411.  doi: 10.1007/s00376-998-0010-z
    [7] HUANG Feng, LIU Shikuo, 2004: Physical Mechanism and Model of Turbulent Cascades in a Barotropic Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 34-40.  doi: 10.1007/BF02915678
    [8] Luo Dehai, 1999: Nonlinear Three-Wave Interaction among Barotropic Rossby Waves in a Large-scale Forced Barotropic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 451-466.  doi: 10.1007/s00376-999-0023-2
    [9] Yaokun LI, Jiping CHAO, Yanyan KANG, 2021: Variations in Wave Energy and Amplitudes along the Energy Dispersion Paths of Nonstationary Barotropic Rossby Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 49-64.  doi: 10.1007/s00376-020-0084-9
    [10] Yaokun LI, Jiping CHAO, Yanyan KANG, 2022: Variations in Amplitudes and Wave Energy along the Energy Dispersion Paths for Rossby Waves in the Quasigeostrophic Barotropic Model, ADVANCES IN ATMOSPHERIC SCIENCES, 39, 876-888.  doi: 10.1007/s00376-021-1244-2
    [11] ZHANG Lifeng, WANG Xingbao, ZHANG Ming, 2003: Spatial and Time Structure of a Gravity Wave in Horizontal Atmosphere of Heterogeneous Stratification, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 29-36.  doi: 10.1007/BF03342047
    [12] Li Guoping, Lu Jinghua, 1996: Some Possible Solutions of Nonlinear Internal Inertial Gravity Wave Equations in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 244-252.  doi: 10.1007/BF02656866
    [13] Zhu Xun, 1987: ON GRAVITY WAVE-MEAN FLOW INTERACTIONS IN A THREE DIMENSIONAL STRATIFIED ATMOSPHERE, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 287-299.  doi: 10.1007/BF02663599
    [14] WEN Yuanqiao, HUANG Liwen, DENG Jian, ZHANG Jinfeng, WANG Sisi, WANG Lijun, 2006: Framework of Distributed Coupled Atmosphere-Ocean-Wave Modeling System, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 442-448.  doi: 10.1007/s00376-006-0442-2
    [15] Luo Dehai, 1990: Topographically Forced Rossby Wave Instability and the Development of Blocking in the Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 433-440.  doi: 10.1007/BF03008873
    [16] Zeng Qingcun, Lu Peisheng, Li Rongfeng, Yuan Chongguang, 1986: EVOLUTION OF LARGE SCALE DISTURBANCES AND THEIR INTERACTION WITH MEAN FLOW IN A ROTATING BAROTROPIC ATMOSPHERE —PART I, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 39-58.  doi: 10.1007/BF02682551
    [17] Zeng Qingcun, Lu Peisheng, Li Rongfeng, Yuan Chongguang, 1986: EVOLUTION OF LARGE SCALE DISTURBANCES AND THEIR INTERACTION WITH MEAN FLOW IN A ROTATING BAROTROPIC ATMOSPHERE PART II, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 172-188.  doi: 10.1007/BF02680044
    [18] Luo Dehai, 1998: Topographically Forced Three-Wave Quasi-Resonant and Non-Resonant Interactions among Barotropic Rossby Waves on an Infinite Beta-Plane, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 83-98.  doi: 10.1007/s00376-998-0020-x
    [19] Zhang Ren, Yu Zhihao, 2000: Low-Frequency CISK-Rossby Wave and Stratospheric QBO in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 311-321.  doi: 10.1007/s00376-000-0012-y
    [20] Chanh KIEU, 2016: The Dynamics of Barotropic Vortex Merging, ADVANCES IN ATMOSPHERIC SCIENCES, 33, 987-995.  doi: 10.1007/s00376-016-6006-1

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Manuscript History

Manuscript received: 10 October 1989
Manuscript revised: 10 October 1989
通讯作者: 陈斌, bchen63@163.com
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The Solitary Wave of Barotropic Atmosphere on a Sphere

  • 1. National Research Center for Marine Environment, Beijing

Abstract: In this paper, we have investigated large scale disturbance in barotropic atmosphere on a sphere. It demonstrates that: considering nonlinear effects of interaction between waves in barotropic vorticity equation, the wave packet of the disturbance is governed by the famous equation-nonlinear Schrodinger equation. For the solitary wave, two fac-tors are very important: one is spherical effect of the disturbance and the other is meridional shear of blocking high. In comparison with the results of local Cartesian coordinates, the former factor is the individuality of spherical soliton.

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