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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in an inhomogeneous optical fiber
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Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in an inhomogeneous optical fiber

机译：非均质光纤中变系数高阶非线性Schrodinger方程的反暗孤子

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摘要

Investigated in this paper is a variable-coefficient higher-order nonlinear Schrodinger equation, which can describe the propagation of subpicosecond or femtosecond optical pulse in an inhomogeneous optical fiber. With a set of the Painleve-integrable coefficient constraints, the equation is transformed into its bilinear forms. Single-and two-anti-dark soliton solutions are constructed via the Hirota method. Based on the solutions, we graphically discuss the features of the anti-dark solitons, as well as their interaction, in the inhomogeneous optical fibers. As shown in our results, the backgrounds of the anti-dark solitons are related to the gain/loss coefficients, while the third-order dispersion coefficients directly influence the propagation trajectories of the anti-dark solitons, which provide a possible way to manage these solitons in the inhomogeneous fiber. On the other hand, overtaking interaction between the two anti-dark solitons is obtained, and seen to be elastic. The frequency shift parameter gamma(1) has almost no effect on the solitons.
机译：本文研究的是一个变系数高阶非线性Schrodinger方程，它可以描述亚皮秒或飞秒光脉冲在不均匀光纤中的传播。通过一组Painleve可积分系数约束，该方程式被转换为其双线性形式。通过Hirota方法构造了单反反暗孤子解和两个反暗孤子解。基于解决方案，我们以图形方式讨论了非均匀光纤中反暗孤子的特征及其相互作用。如我们的结果所示，反暗孤子的背景与增益/损耗系数有关，而三阶色散系数直接影响反暗孤子的传播轨迹，这为解决这些问题提供了一种可能的方法。不均匀纤维中的孤子。另一方面，获得了两个反暗孤子之间的超车相互作用，并且被认为是有弹性的。频移参数gamma（1）对孤子几乎没有影响。

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