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