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

Xiao yan Tang; Zu feng Liang; Xia zhi Hao

doi:10.1016/j.cnsns.2017.12.016

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

Xiao yan Tang^*
, Zu feng Liang
, Xia zhi Hao

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

A new general nonlocal modified KdV equation is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-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.

Original language	English
Pages (from-to)	62-71
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	60
DOIs	https://doi.org/10.1016/j.cnsns.2017.12.016
State	Published - Jul 2018

Keywords

Dipole blocking
Nonlocal modified KdV equation
Shifted parity and delayed time reversal symmetry
Wave solution

Access to Document

10.1016/j.cnsns.2017.12.016

Cite this

@article{d3e20f64ed164ae8a15ef215aa0e04d9,

title = "Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system",

abstract = "A new general nonlocal modified KdV equation is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-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.",

keywords = "Dipole blocking, Nonlocal modified KdV equation, Shifted parity and delayed time reversal symmetry, Wave solution",

author = "Tang, \{Xiao yan\} and Liang, \{Zu feng\} and Hao, \{Xia zhi\}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = jul,

doi = "10.1016/j.cnsns.2017.12.016",

language = "英语",

volume = "60",

pages = "62--71",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system

AU - Tang, Xiao yan

AU - Liang, Zu feng

AU - Hao, Xia zhi

PY - 2018/7

Y1 - 2018/7

N2 - A new general nonlocal modified KdV equation is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-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.

AB - A new general nonlocal modified KdV equation is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-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.

KW - Dipole blocking

KW - Nonlocal modified KdV equation

KW - Shifted parity and delayed time reversal symmetry

KW - Wave solution

UR - https://www.scopus.com/pages/publications/85040242546

U2 - 10.1016/j.cnsns.2017.12.016

DO - 10.1016/j.cnsns.2017.12.016

M3 - 文章

AN - SCOPUS:85040242546

SN - 1007-5704

VL - 60

SP - 62

EP - 71

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this