Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011539 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 12 Pages |
Abstract
In this paper, we investigate a generalized nonautonomous nonlinear equation, which describes the ultrashort optical pulse propagating in a nonlinear inhomogeneous fiber. Under certain integrable constraints, bilinear forms, bright one- and two-soliton solutions are obtained. Via certain transformation, we investigate the properties of the solitons with the first-order dispersion parameter Ï1(x, t), second-order dispersion parameter Ï2(x, t), third-order dispersion parameter Ï3(x, t), phase modulation and gain (loss) v(x, t). Soliton propagation and collision are graphically presented and analyzed: One soliton is shown to maintain its amplitude and width during the propagation. When we choose Ï1(x, t), Ï2(x, t) and Ï3(x, t) differently, travelling direction of the soliton is found to alter. v(x, t) is observed to affect the amplitude of the soliton. Head-on collision between the two solitons is presented with Ï1(x, t), Ï2(x, t), Ï3(x, t) and v(x, t) as the constants, and solitons' amplitudes are the same before and after the collision. When Ï1(x, t), Ï2(x, t) and Ï3(x, t) are chosen as certain functions, the solitons' traveling directions change during the collision. v(x, t) can influence the amplitudes of the two solitons.
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Authors
Xi-Yang Xie, Bo Tian, Lei Liu, Yue-Yang Guan, Yan Jiang,