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Volume 8 Issue 3

Jul.  1991

Article Contents

On a Class of Solitary Wave Solutions of Atmospheric Nonlinear Equations


doi: 10.1007/BF02919618

  • In this paper, an attempt is made to study some interesting results of the coupled nonlinear equations in the at-mosphere. By introducing a phase angle function ξ, it is shown that the atmospheric equations in the presence of specific forcing exhibit the exact and explicit solitary wave solutions under certain conditions.
  • [1] 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
    [2] Huang Sixun, Zhang Ming, 1993: Study on Atmospheric Travelling Wave Solutions and Review of Its Present Developments, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 435-446.  doi: 10.1007/BF02656968
    [3] H.L. Kuo, 1995: Three-dimensional Global Scale Permanent-wave Solutions of the Nonlinear Quasigeostrophic Potential Vorticity Equation and Energy Dispersion, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 387-404.  doi: 10.1007/BF02657001
    [4] Xu Xihua, 1989: The Solitary Wave of Barotropic Atmosphere on a Sphere, ADVANCES IN ATMOSPHERIC SCIENCES, 6, 457-466.  doi: 10.1007/BF02659079
    [5] 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
    [6] Ji Zhongzhen, Lin Wantao, Yang Xiaozhong, 2001: Problems of Nonlinear Computational Instability in Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 397-403.  doi: 10.1007/BF02919318
    [7] DUAN Wansuo, LUO Haiying, 2010: A New Strategy for Solving a Class of Constrained Nonlinear Optimization Problems Related to Weather and Climate Predictability, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 741-749.  doi: 10.1007/s00376-009-9141-0
    [8] Yong. L. McHall, 1992: Nonlinear Planetary Wave Instability and Blocking, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 173-190.  doi: 10.1007/BF02657508
    [9] Li Maicun, 1987: EQUATORIAL SOLITARY WAVES OF TROPICAL ATMOSPHERIC MOTION IN SHEAR FLOW, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 125-136.  doi: 10.1007/BF02677059
    [10] Lin Wantao, Ji Zhongzhen, Wang Bin, 2001: Computational Stability of the Explicit Difference Schemes of the Forced Dissipative Nonlinear Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 413-417.  doi: 10.1007/BF02919320
    [11] LIN Wantao, 2004: The Relationship between Nonconservative Schemes and Initial Values of Nonlinear Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 277-282.  doi: 10.1007/BF02915714
    [12] Mu Mu, Zeng Qingcun, 1991: New Developments on Existence and Uniqueness of Solutions to Some Models in Atmospheric Dynamics, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 383-398.  doi: 10.1007/BF02919262
    [13] Huang Sixun, 1996: Inversion and Ill-Posed Problem Solutions in Atmospheric Remote Sensing, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 489-504.  doi: 10.1007/BF03342039
    [14] 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
    [15] He Jianzhong, 1994: Nonlinear Ultra-Long Wave and Its Stability, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 91-100.  doi: 10.1007/BF02656998
    [16] Lin Wantao, Ji Zhongzhen, Wang Bin, 2001: Construction of Explicit Quasi-complete Square Conservative Difference Schemes of Forced Dissipative Nonlinear Evolution Equations, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 604-612.  doi: 10.1007/s00376-001-0048-7
    [17] Liu Shida, Liu Shikuo, 1990: Advances in Studies on Nonlinear Atmospheric Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 227-244.  doi: 10.1007/BF02919161
    [18] Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310.  doi: 10.1007/BF02656754
    [19] Xu Youfeng, 1986: THE NONLINEAR INTERACTION BETWEEN DIFFERENT WAVE COMPONENTS AND THE PROCESS OF INDEX CYCLE OF GENERAL CIRCULATION, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 478-488.  doi: 10.1007/BF02657937
    [20] 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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Manuscript History

Manuscript received: 10 July 1991
Manuscript revised: 10 July 1991
通讯作者: 陈斌, bchen63@163.com
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On a Class of Solitary Wave Solutions of Atmospheric Nonlinear Equations

  • 1. Department of Mathematics, Jadavpur University Calcutta-700032, India,Department of Mathematics, Jadavpur University Calcutta-700032, India,Department of Mathematics, Jadavpur University Calcutta-700032, India

Abstract: In this paper, an attempt is made to study some interesting results of the coupled nonlinear equations in the at-mosphere. By introducing a phase angle function ξ, it is shown that the atmospheric equations in the presence of specific forcing exhibit the exact and explicit solitary wave solutions under certain conditions.

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