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 insta...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.展开更多
We show the possibility to generate Kuznetsov-Ma solitons based on bound-to-bound intersubband transitions in an asymmetric two-coupled well structure. By presenting the modulation instability of the nonlinear system ...We show the possibility to generate Kuznetsov-Ma solitons based on bound-to-bound intersubband transitions in an asymmetric two-coupled well structure. By presenting the modulation instability of the nonlinear system provided by the interaction between light fields and quantum wells, we show that the plane wave with small perturbation can evolve into periodic trains of pulses at high while controllable repetition rates. It is found that the formation of Kuznetsov-Ma solitons as well as their period is determined by the combination of group velocity dispersion, Kerr nonlinearity and the initial amplitude of the background wave. The present research may be useful for generating subpicosecond and femtosecond pulses.展开更多
Abstract The （3＋1 ）-dimensional variable-coetfficient nonlinear SchrSdinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived...Abstract The （3＋1 ）-dimensional variable-coetfficient nonlinear SchrSdinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time Tm and the accumulated time To based on maximum amplitude of Kuznetsov Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated.展开更多
基金supported by the Key Project of Scientific and Technological Research in Hebei Province,China(Grant No.ZD2015133)
文摘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 National Basic Research Program of China under Grant No 2010CB434811the National Natural Science Foundation of China under Grant Nos 11047025 and 201180016
文摘We show the possibility to generate Kuznetsov-Ma solitons based on bound-to-bound intersubband transitions in an asymmetric two-coupled well structure. By presenting the modulation instability of the nonlinear system provided by the interaction between light fields and quantum wells, we show that the plane wave with small perturbation can evolve into periodic trains of pulses at high while controllable repetition rates. It is found that the formation of Kuznetsov-Ma solitons as well as their period is determined by the combination of group velocity dispersion, Kerr nonlinearity and the initial amplitude of the background wave. The present research may be useful for generating subpicosecond and femtosecond pulses.
基金Supported by the National Natural Science Foundation of China under Grant No.11375079the Applied Nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province
文摘Abstract The （3＋1 ）-dimensional variable-coetfficient nonlinear SchrSdinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time Tm and the accumulated time To based on maximum amplitude of Kuznetsov Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated.
