Exploring Solutions of Nonlinear Rossby Waves with Complete Coriolis Force

被引:0
|
作者
Zhao Qiang [1 ]
Yu Xin [1 ]
机构
[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
Coriolis force; Rossby waves; semi-geostrophic approximation; EARTHS ANGULAR VELOCITY; SHALLOW ROTATING ATMOSPHERE; HORIZONTAL COMPONENT; NORMAL-MODES; BETA-PLANE; EQUATIONS; MOTION; ROLES;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nonlinear Rossby waves in a Boussinesq fluid model which includes both the vertical and horizontal components of Coriolis force are studied by using the semi-geostrophic approximation and the method of travelling-wave solution. Taylor series expansion has been employed to isolate the characteristics of the linear Rossby waves and identify the Rossby cnoidal and solitary waves. Qualitative analysis indicates that if the disturbances are independent of latitude, the effect of horizontal components of Coriolis force disappears.
引用
收藏
页码:185 / 188
页数:4
相关论文
共 50 条
  • [1] Exploring Solutions of Nonlinear Rossby Waves with Complete Coriolis Force
    ZHAO Qiang~+ and YU XinSchool of Physics
    Communications in Theoretical Physics, 2009, 52 (07) : 185 - 188
  • [2] Exact solutions to the nonlinear Rossby waves with a complete representation of the Coriolis force
    Zhao Qiang
    Yu Xin
    CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2008, 51 (05): : 1304 - 1308
  • [3] Nonlinear Schrodinger equation for envelope Rossby waves with complete Coriolis force and its solution
    Yin, Xiaojun
    Yang, Liangui
    Yang, Hongli
    Zhang, Ruigang
    Su, Jinmei
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (02):
  • [4] Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution
    Yin, Xiaojun
    Yang, Liangui
    Yang, Hongli
    Zhang, Ruigang
    Su, Jinmei
    Computational and Applied Mathematics, 2019, 38 (02)
  • [5] Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution
    Xiaojun Yin
    Liangui Yang
    Hongli Yang
    Ruigang Zhang
    Jinmei Su
    Computational and Applied Mathematics, 2019, 38
  • [6] Rossby waves under time-varying shear with the complete Coriolis force
    Liu, Na
    Yin, Xiaojun
    Zhang, Ruigang
    Liu, Quansheng
    PHYSICS OF FLUIDS, 2025, 37 (02)
  • [7] Structure of equatorial envelope Rossby solitary waves with complete Coriolis force and the external source
    Yin, Xiao-Jun
    Yang, Lian-Gui
    Liu, Quan-Sheng
    Su, Jin-Mei
    Wu, Guo-rong
    CHAOS SOLITONS & FRACTALS, 2018, 111 : 68 - 74
  • [9] Exploring solutions of nonlinear Rossby waves in shallow water equations
    Bagchi, B
    Venkatesan, C
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (08) : 2717 - 2721
  • [10] Combined ZK-mZK equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions
    Bao Jun Zhao
    Ru Yun Wang
    Wen Jin Sun
    Hong Wei Yang
    Advances in Difference Equations, 2018