A new model equation for nonlinear Rossby waves and some of its solutions

被引：58

作者：

Liu, Quansheng ^{[1
,2
]}

Zhang, Ruigang ^{[1
]}

Yang, Liangui ^{[1
]}

Song, Jian ^{[3
]}

机构：

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

[2] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China

[3] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

来源：

PHYSICS LETTERS A | 2019年 / 383卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Rossby waves; New modified Zakharov-Kuznetsov equation; New auxiliary equation method; Non-traditional approximation; Homotopy perturbation method; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPLETE CORIOLIS-FORCE; SOLITARY WAVES; LUMP SOLUTIONS; KDV EQUATION; BETA;

D O I：

10.1016/j.physleta.2018.10.052

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we investigate the (2 + 1) dimensional nonlinear Rossby waves under non-traditional approximation. Using the asymptotic methods of multiple scales and weak nonlinear perturbation expansions, we derive a new modified Zakharov-Kuznetsov equation from the barotropic potential vorticity equation with the complete Coriolis parameter, the topography and the dissipation. Based on the new auxiliary equation method, new exact solutions of the new mZK equation are obtained when the dissipation is absent. However, the new auxiliary equation method fails to solve the new mZK equation with the dissipative term. Therefore, the weak nonlinear method and the homotopy perturbation method are developed to solve the obtained new mZK equation. Through numerical simulations, the results show the effects of different parameters on Rossby waves. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：514 / 525

页数：12

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