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Some Possible Solutions of Nonlinear Internal Inertial Gravity Wave Equations in the Atmosphere


doi: 10.1007/BF02656866

  • In this paper, the nonlinear internal inertial gravity wave equation is derived by the analysis method of phase plane and is solved by integration method. The results showed that this nonlinear equation not only has ordinary soli-tary wave solution but also has another extra-ordinary solutions, and the form of solution is related to stratification stability, wave velocity and direction of wave motion.
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    [2] 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
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    [7] He Jianzhong, 1994: Nonlinear Ultra-Long Wave and Its Stability, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 91-100.  doi: 10.1007/BF02656998
    [8] 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
    [9] Zhang Zhenyue, 1988: TROPICAL GRAVITY-ATMOSPHERIC LONG WAVE AND THE WALKER CIRCULATION, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 265-276.  doi: 10.1007/BF02656751
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    [11] Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310.  doi: 10.1007/BF02656754
    [12] Tracy MOFFAT-GRIFFIN, Mike J. TAYLOR, Takuji NAKAMURA, Andrew J. KAVANAGH, J. Scott HOSKING, Andrew ORR, 2017: 3rd ANtarctic Gravity Wave Instrument Network (ANGWIN) Science Workshop, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 1-3.  doi: 10.1007/s00376-016-6197-5
    [13] Lu LIU, Lingkun RAN, Shouting GAO, 2019: A Three-dimensional Wave Activity Flux of Inertia-Gravity Waves and Its Application to a Rainstorm Event, ADVANCES IN ATMOSPHERIC SCIENCES, 36, 206-218.  doi: 10.1007/s00376-018-8018-5
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    [16] Gao Shouting, 1991: A-B Hybrid Equation Method of Nonlinear Bifurcation in Wave-Flow Interaction, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 165-174.  doi: 10.1007/BF02658092
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    [20] MING Jie, NI Yunqi, SHEN Xinyong, 2009: The Dynamical Characteristics and Wave Structure of Typhoon Rananim (2004), ADVANCES IN ATMOSPHERIC SCIENCES, 26, 523-542.  doi: 10.1007/s00376-009-0523-0

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Manuscript History

Manuscript received: 10 April 1996
Manuscript revised: 10 April 1996
通讯作者: 陈斌, bchen63@163.com
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Some Possible Solutions of Nonlinear Internal Inertial Gravity Wave Equations in the Atmosphere

  • 1. Chengdu Institute of Meteorology, Chengdu, 610041,Chengdu Institute of Meteorology, Chengdu, 610041

Abstract: In this paper, the nonlinear internal inertial gravity wave equation is derived by the analysis method of phase plane and is solved by integration method. The results showed that this nonlinear equation not only has ordinary soli-tary wave solution but also has another extra-ordinary solutions, and the form of solution is related to stratification stability, wave velocity and direction of wave motion.

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