基于非线性薛定谔方程对光纤中抛物线形脉冲对的传输过程进行了数值仿真,并利用分步傅里叶法对方程进行求解,研究了抛物线形脉冲对在单模光纤和色散管理光纤中的传输特性。仿真结果表明,抛物线形脉冲对在光纤中传输时几乎没有相互作用,主要面临的问题是维持其抛物线形和减小脉冲展宽带来的脉冲间的干涉。抛物线形脉冲在传输时的演化受到光纤色散的影响,在正常色散光纤和平均色散为正的色散管理光纤中传输时才能维持其抛物线形,但在正常色散光纤中脉冲展宽速度较快,而在平均色散为正的色散管理光纤中可以很好地抑制脉冲展宽的速度。这个结果对远程无中继光纤通信有很大的帮助。 Based on the nonlinear Schrödinger equation, the transmission process of the parabolic pulse pair in the fiber is numerically simulated and the equation is solved by the step-and-step Fourier method. The transmission of the parabolic pulse pair in the single-mode fiber and the dispersion-managed fiber is studied characteristic. The simulation results show that the parabolic pulse has almost no interaction with the fiber during transmission. The main problem is to maintain its parabolic shape and reduce the pulse interference caused by pulse broadening. The evolution of the parabolic pulse during transmission is affected by the dispersion of the fiber, maintaining its parabolic shape when propagating in the normal dispersion fiber and in the dispersion management fiber with a positive average dispersion, but the pulse broadening is faster in a normal dispersion fiber, whereas in the Dispersion management fibers with an average dispersion of positive can well suppress the pulse broadening speed. This result is of great help to remote relayless optical fiber communication.