Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system

被引：45
|
作者：
Tang, Xiao-yan [1 ]
Liang, Zu-feng [2 ]
Hao, Xia-zhi [3 ]
机构：
[1] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
[2] Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Zhejiang, Peoples R China
[3] East China Normal Univ, Sch Comp Sci & Software Engn, Shanghai 062, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 60卷
基金：
中国国家自然科学基金;
关键词：
Nonlocal modified KdV equation; Shifted parity and delayed time reversal symmetry; Wave solution; Dipole blocking; INVERSE SCATTERING TRANSFORM;
D O I：
10.1016/j.cnsns.2017.12.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new general nonlocal modified KdV equation is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a beta-plane. The nonlocal property is manifested in the shifted parity and delayed time reversal symmetries. Exact solutions of the nonlocal modified KdV equation are obtained including periodic waves, kink waves, solitary waves, kink-and/or anti-kink-cnoidal periodic wave interaction solutions, which can be utilized to describe various two-place and time-delayed correlated events. As an illustration, a special approximate solution is applied to theoretically capture the salient features of two correlated dipole blocking events in atmospheric dynamical systems. (c) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：62 / 71
页数：10
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