文章数值研究了一阶非线性和色散对超高斯脉冲传输的影响。结果表明：正的高阶色散引起的超高斯的振荡出现在脉冲后沿的峰值和拖尾上，负的高阶色散引起的超高斯脉冲的振荡出现在脉冲前沿的峰值和拖尾上；脉冲沿形状参数m越大，一阶非线性和二阶色散引起超高斯脉冲在传输的初始阶段峰值变得更大，且脉宽变得更窄；随着传输距离的增大，峰值变得更小而脉宽变得更宽，啁啾增加的更大；m越小，在脉冲的中心附近较大范围内啁啾的线性越好。

Effects of first-order nonlinearity and dispersion on super-Gaussian pulse propagation in single-mode optical fibers are numerically investigated. The results show that super-Gaussian oscillations caused by positive higher-order dispersion β3 come forth near the peak and trailing of the back edge of the pulse, while those caused by the negative β3 appear near the peak and trailing of the front edge of the pulse. The greater the shape parameter m of the pulse edge, the greater the peak value of the super-Gaussian pulse caused by the first-order nonlinearity and the second-order dispersion at the initial phase of the propagation, and the narrower the pulse width and, at the same time, the longer the propagation distance, the smaller the peak value, the wider the pulse width and the greater the chirp, while the smaller the m, the better the linearity of the chirps over a fairly large region around the center of the pulse.