Nonlinear Schrodinger equation for envelope Rossby waves with complete Coriolis force and its solution

被引：3

作者：

Yin, Xiaojun ^{[1
]}

Yang, Liangui ^{[1
]}

Yang, Hongli ^{[1
]}

Zhang, Ruigang ^{[1
]}

Su, Jinmei ^{[2
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

[2] Inner Mongolia Agr Univ, Coll Sci, Hohhot 010018, Peoples R China

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Complete Coriolis force; Rossby solitary waves; Nonlinear Schrodinger equation; Jacobi elliptic function methods; The dissipation effect; SHALLOW-WATER EQUATIONS; HOMOTOPY PERTURBATION METHOD; SOLITARY WAVES; MODELS; MOTION; WELL;

D O I：

10.1007/s40314-019-0801-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The physical features of the equatorial envelope Rossby waves including with complete Coriolis force and dissipation are investigated analytically. Staring with a potential vorticity equation, the wave amplitude evolution of equatorial envelope Rossby waves is described as a nonlinear Schrodinger equation by employing multiple scale analysis and perturbation expansions. The equation is more suitable for describing envelope Rossby solitary waves when the horizontal component of Coriolis force is stronger near the equator. Then, based on the Jacobi elliptic function expansion method and trial function method, the classical Rossby solitary wave solution and the corresponding stream function of the envelope Rossby solitary waves are obtained, respectively. With the help of these solutions, the effect of dissipation and the horizontal component of Coriolis parameter are discussed in detail by graphical presentations. The results reveal the effect of the horizontal component of Coriolis force and dissipation on the classical Rossby solitary waves.

引用

页数：14

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