A new variable-coefficient mZK-Burgers model for nonlinear Rossby waves and its soliton solution

被引：0
作者：
Zhao, Baojun [1 ,2 ,3 ]
Zhang, Mengying [1 ]
机构：
[1] Yangzhou Univ, Coll Hydraul Sci & Engn, Yangzhou, Jiangsu, Peoples R China
[2] Hohai Univ, Key Lab, Minist Educ Coastal Disaster & Protect, Nanjing, Jiangsu, Peoples R China
[3] Yatai Pump & Valve Co Ltd, Taizhou, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2025年
基金：
中国博士后科学基金;
关键词：
Variable-coefficient mZK-Burgers equation; Jacobi elliptic function expansion; parameter perturbation; MULTISOLITON SOLUTION; EXPANSION METHOD; EQUATION; DYNAMICS;
D O I：
10.1142/S0219887825400122
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, with the multi-scale analysis and Wentzel-Kramers-Brillouin (WKB) theory, a variable-coefficient modified Zakharov-Kuznetsov (mZK)-Burgers equation is obtained via the quasi-geostrophic potential vorticity model. The equation can be described the propagation of the nonlinear long wave and solitary eddy. The exact solutions are given by the Jacobi elliptic function expansion method to analyze wave propagation characteristics, and the elliptical modulus k affects the amplitude and period of waves.
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页数：12
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