耦合复变系数Ginzburg-Landau方程的啁啾类孤波对传输特性研究

Propagating of Chirped Soliton Pairs Based on the Coupled Generalized Ginzburg-Landau Equation with Varying Coefficients

通过对耦合复变系数Ginzburg-Landau方程所描述的非线性光纤系统的研究,分别数值分析了啁啾类亮-暗和啁啾类暗-暗两组孤波对在这种非线性光纤中传输的稳定性。在加入非线性增益(损耗),和增益带宽限制放大(滤波的谱限制)效应后,耦合啁啾孤子对的特点是暗孤波在反常群速度色散区,亮孤子在正常群速度色散区时可以稳定传输。并进一步讨论了加入振幅微扰和白噪声微扰对孤子传输稳定性的影响。

In this paper, we have investigated the coupled generalized Ginzburg-Landau （GL） equation with varying coefficients describing the inhomogeneous optical fiber system, and used Fast Fourier Transform Algorithm respectively and numerically to analyse soliton pairs such as chirped bright-dark and chirped dark- dark which are propagating in the inhomogeneous optical fiber system. A lot of numerical simulations show that these chirped soliton pairs with non-linear gain （dissipative）and filtering spectrum limit effect are propagating stably in the inhomogeneous optical fiber system. And it also shows that to sustain a brightoptical solitary wave even in the normal dispersion regime by coupling at the same time can sustain a dark optical solitary in the anomalous dispersion regime. Finally, in order to further investigate the stability ofthe chirped soliton pairs, we prove soliton pairs are stable under finite initial perturbations such as amplitude perturbation and white noise in such inhomogeneous optical fiber system.