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。

Numerical simulation of a parabolic-shaped pulse pair propagating in fiber is done based on the nonlinear Schrdinger equation, and the solution of the equation is found with split-step Fourier method. The transmission behaviors of the parabolic-shaped pulse pair in single-mode fiber and dispersion-managed fiber are studied. Simulation results show that there is almost no interaction between the parabolic-shaped pulse pairs transferring in fiber, and the main challenge is to preserve their shape and reduce the interference generated by pulse stretching. The evolution of parabolic-shaped pulses in fiber is affected by dispersion. When the pulses propagate in normal dispersion fiber or dispersion-managed fiber with average normal dispersion, they can maintain the parabolic shape. Especially, the pulses stretch fiercely when propagating in normal dispersion fiber, and taking advantage of the dispersion management methods, the tendency of pulse stretching is suppressed well. This result is of great help in long-haul optical fiber communication without relay.