Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schr?dinger equation

作     者：Si-Jia Chen Xing Lü Si-Jia Chen;Xing Lü

作者机构：College of ScienceTianjin University of TechnologyTianjin 300384People's Republic of China Department of MathematicsBeijing Jiaotong UniversityBeijing 100044People's Republic of China Beijing Laboratory of National Economic Security Early-warning EngineeringBeijing Jiaotong UniversityBeijing 100044People's Republic of China 

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

年 卷 期：2024年第76卷第3期

页      面：33-41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：supported by the National Natural Science Foundation of China under Grant No.12275017 the Beijing Laboratory of National Economic Security Early-warning Engineering,Beijing Jiaotong University 

主　　题：nonlinear Schrodinger equation rogue wave solutions interaction solutions 

摘      要：Based on the long wave limit method,the general form of the second-order and third-order rogue wave solutions to the focusing nonlinear Schr?dinger equation are given by introducing some arbitrary *** interaction solutions between the first-order rogue wave and one-breather wave are constructed by taking a long wave limit on the two-breather *** applying the same method to the three-breather solutions,two types of interaction solutions are obtained,namely the first-order rogue wave and two breather waves,the second-order rogue wave and one-breather wave,*** influence of the parameters related to the phase on the interaction phenomena is graphically *** occur among the rogue waves and breather *** the collisions,the shape of them remains *** abundant interaction phenomena in this paper will contribute to a better understanding of the propagation and control of nonlinear waves.