Equatorial Rossby solitary wave under the external forcing

被引:0
作者
Fu, ZT [1 ]
Liu, SK
Liu, SD
机构
[1] Peking Univ, Sch Phys, Lab Severe Storm & Flood Disaster, Beijing 100871, Peoples R China
[2] Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
关键词
KdV equation; periodic-like structure; Jacobi elliptic function;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A simple shallow-water model with influence of external forcing on a beta-plane is applied to investigate the nonlinear equatorial Rossby waves in a shear flow. By the perturbation method, the extended variable-coefficient KdV equation under an external forcing is derived for large amplitude equatorial Rossby wave in a shear flow. And then various periodic-like structures for these equatorial Rossby waves are obtained with the help of Jacobi elliptic functions. It is shown that the external forcing plays an important role in various periodic-like structures.
引用
收藏
页码:45 / 48
页数:4
相关论文
共 50 条
[41]   Solitary Wave Solution of KP equation, Cylindrical KP Equation and Spherical KP Equation [J].
Li, Xiang-Zheng ;
Zhang, Jin-Liang ;
Wang, Ming-Liang .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (02) :207-211
[42]   Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing [J].
Balasuriya, Sanjeeva ;
Binder, Benjamin J. .
PHYSICA D-NONLINEAR PHENOMENA, 2014, 285 :28-41
[43]   Exact Periodic Solitary Wave and Double Periodic Wave Solutions for the (2+1)-Dimensional Korteweg-de Vries Equation [J].
Liu, Changfu ;
Dai, Zhengde .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (9-10) :609-614
[44]   Solitary ion acoustic wave in magnetized plasma with hot electrons taking regularized kappa distribution [J].
Eghbali, Mohammad .
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2025, 86 (11) :1058-1065
[45]   The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach [J].
Du, Zengji ;
Li, Ji ;
Li, Xiaowan .
JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (04) :988-1007
[46]   A UNIFORM APPROACH TO EXPLORING THE BELL-TYPE SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS [J].
Xie, Yuanxi ;
Peng, Shiyu ;
Su, Kalin .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (31)
[47]   RATIONAL FORM SOLITARY WAVE SOLUTIONS FOR SOME TYPES OF HIGH ORDER NONLINEAR EVOLUTION EQUATIONS [J].
韩廷武 ;
卓相来 .
AnnalsofDifferentialEquations, 2000, (04) :315-319
[48]   Solitary wave solutions of Sawada-Kotera equation using two efficient analytical methods [J].
Riaz, Muhammad Bilal ;
Naseer, Faiza ;
Abbas, Muhammad ;
Abd El-Rahman, Magda ;
Nazir, Tahir ;
Chan, Choon Kit .
AIMS MATHEMATICS, 2023, 8 (12) :31268-31292
[49]   EXPONENTIALLY SMALL ESTIMATE FOR A GENERALIZED SOLITARY WAVE SOLUTION TO THE PERTURBED K-DV EQUATION [J].
SUN, SM ;
SHEN, MC .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (04) :545-564
[50]   Solitary and traveling wave solutions for the Davey–Stewartson equation using the Jacobi elliptic function expansion method [J].
Nikola Zoran Petrović .
Optical and Quantum Electronics, 2020, 52