以含有慢饱和吸收效应的耦合非线性薛定谔方程组为模型,对锁模光纤激光器中亮亮类孤子对的产生及传输进行了详细地研究。首先,采用拟解法解析得到了慢饱和吸收效应影响下的一组新型的精确亮亮类孤子解;其次,采用分步傅立叶变换法数值研究了啁啾类亮亮孤子解的演化特性,并在输出端将数值结果与精确解进行了比对;最后, 数值研究了一定幅度的白噪声干扰下亮亮类孤子解的稳定性。结果表明:一定的参数条件下,锁模光纤激光器中存在亮亮类孤子解,并且该解在一定的白噪声扰动下,可以实现较长距离的稳定传输。

Based on the coupled nonlinear Schrdinger equations with the slow saturated absorption effect,the generation and transmission of bright-like soliton pairs in mode-locked fiber laser have been studied in details. Firstly,the exact bright-like soliton pairs solution were obtained by using the ansatz method.Secondly,the evolution of the chirped bright-like soliton pairs have been analyzed by using split-step Fourier transform method,and the numerical results also have been compared with the exact solution at the output end. Finally,the stability of the new chirped bright-like soliton pairs solution were studied by using the numerical method that under a certain range of white noise. These results showed that the bright-like soliton pairs solution not only can exist but also can transmit stably with white noise under selected the appropriate parameters.