Kuznetsov–Ma soliton and Akhmediev breather of higher-order nonlinear Schrdinger equation  

作　　者：李再东 吴璇 李秋艳 贺鹏斌 

机构地区：[1]Department of Applied Physics,Hebei University of Technology,Tianjin 300401,China [2]College of Physics and Microelectronics Science,Key Laboratory for Micro-Nano Physics and Technology of Hunan Province,Hunan University,Changsha 410082,China

出　　处：《Chinese Physics B》2016年第1期520-524,共5页中国物理B（英文版）

基　　金：supported by the Key Project of Scientific and Technological Research in Hebei Province,China(Grant No.ZD2015133)

摘　　要：In terms of Darboux transformation, we have exactly solved the higher-order nonlinear Schr6dinger equation that describes the propagation of ultrashort optical pulses in optical fibers. We discuss the modulation instability （MI） process in detail and find that the higher-order term has no effect on the MI condition. Under different conditions, we obtain Kuznetsov-Ma soliton and Akhmediev breather solutions of higher-order nonlinear Schredinger equation. The former describes the propagation of a bright pulse on a continuous wave background in the presence of higher-order effects and the soliton＇s peak position is shifted owing to the presence of a nonvanishing background, while the latter implies the modulation instability process that can be used in practice to produce a train of ultrashort optical soliton pulses.In terms of Darboux transformation, we have exactly solved the higher-order nonlinear Schr6dinger equation that describes the propagation of ultrashort optical pulses in optical fibers. We discuss the modulation instability （MI） process in detail and find that the higher-order term has no effect on the MI condition. Under different conditions, we obtain Kuznetsov-Ma soliton and Akhmediev breather solutions of higher-order nonlinear Schredinger equation. The former describes the propagation of a bright pulse on a continuous wave background in the presence of higher-order effects and the soliton＇s peak position is shifted owing to the presence of a nonvanishing background, while the latter implies the modulation instability process that can be used in practice to produce a train of ultrashort optical soliton pulses.

关 键 词：Kuznetsov-Ma soliton Akhmediev breather 

分 类 号：TN929.11[电子电信—通信与信息系统]