从非线性薛定谔方程出发,用变分法得出了描述锐度因子为不同自然数的超高斯脉冲在光纤色散(二阶和高阶)和非线性(三阶和五阶)作用下传输的微分方程组,用龙格-库塔算法对微分方程组进行数值求解.结果表明对于给定的较小的光纤色散和非线性系数,都存在特定的三阶和五阶非线性系数使非线性有效地对高阶和二阶色散给脉冲传输造成的展宽影响加以补偿,此时超高斯脉冲在光纤以近似保形的状态稳定传输.当色散系数与非线性系数之比太大时脉冲将被无限展宽.
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