Some special exact solutions in nonlocal Alice-Bob sine-Gordon systems

作     者：Zong-Ao Zhang Sen-Yue Lou Zong-Ao Zhang;Sen-Yue Lou

作者机构：School of Mathematics and StatisticsNingbo UniversityNingbo315211China School of Physical Science and TechnologyNingbo UniversityNingbo315211China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2023年第75卷第2期

页      面：39-45页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (Nos. 11435005, 11975131, 12235007) K.C.Wong Magna Fund in Ningbo University 

主　　题：sine-Gordon equation parity and time reversal soliton solutions periodic solutions 

摘      要：Three nonlocal Alice-Bob sine-Gordon(ABSG) systems with the parity and time reversal nonlocality and/or space-time exchange nonlocality are investigated. For the common local SG equation, two types of N-soliton solutions and three types of periodic solutions are presented. The multiple solutions, breather solution, double kink solution, and periodic solutions of the ABSG systems are obtained from the symmetry reductions of a coupled local sine-Gordon system.