文献类型：期刊文献

中文题名：A nonlocal Burgers equation in atmospheric dynamical system and its exact solutions

英文题名：A nonlocal Burgers equation in atmospheric dynamical system and its exact solutions

作者：Liu, Xi-Zhong[1];Yu, Jun[1];Lou, Zhi-Mei[1];Qian, Xian-Min[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Shaoxing Univ, Yuanpei Coll, Shaoxing 312000, Peoples R China

年份：2019

卷号：0

期号：1

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：CSTPCD、、Scopus、CSCD2019_2020、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11405110, 11275129, and 11472177) and the Natural Science Foundation of Zhejiang Province of China (Grant No. LY18A050001).

语种：英文

中文关键词：AB–BA;equivalence;principle;nonlocal;Burgers;equation;periodic;waves

外文关键词：AB-BA equivalence principle; nonlocal Burgers equation; periodic waves

中文摘要：From a two-vortex interaction model in atmospheric and oceanic systems, a nonlocal counterpart with shifted parity and delayed time reversal is derived by a simple AB reduction. To obtain some approximate analytic solutions of this nonlocal system, the multi-scale expansion method is applied to get an AB-Burgers system. Various exact solutions of the AB-Burgers equation, including elliptic periodic waves, kink waves and solitary waves, are obtained and shown graphically.To show the applications of these solutions in describing correlated events, a simple approximate solution for the two-vortex interaction model is given to show two correlated dipole blocking events at two different places. Furthermore, symmetry reduction solutions of the nonlocal AB-Burgers equation are also given by using the standard Lie symmetry method.

外文摘要：From a two-vortex interaction model in atmospheric and oceanic systems, a nonlocal counterpart with shifted parity and delayed time reversal is derived by a simple AB reduction. To obtain some approximate analytic solutions of this nonlocal system, the multi-scale expansion method is applied to get an AB-Burgers system. Various exact solutions of the AB-Burgers equation, including elliptic periodic waves, kink waves and solitary waves, are obtained and shown graphically. To show the applications of these solutions in describing correlated events, a simple approximate solution for the two-vortex interaction model is given to show two correlated dipole blocking events at two different places. Furthermore, symmetry reduction solutions of the nonlocal AB-Burgers equation are also given by using the standard Lie symmetry method.