二阶孤子的传输和相互作用

Propagation and interaction of second-order solitons

用分步傅里叶变换法求解二阶孤子传输的非线性薛定谔方程,得到了在此条件下孤子传输的数值图形,发现二阶孤子在传输中被压缩,幅值振荡变化。2个二阶孤子在传输过程中没有出现象2个一阶孤子那样周期性碰撞,但2个二阶孤子时间间隔较小时,随传输距离在2个二阶孤子中间周期性地衍生出第3个孤子。研究证明:二阶孤子的传输具有与一阶孤子明显不同的特征。

The propagation characteristics of second-order solitons were acquired by solving the nonlinear Schrodinger（NLS） equation with the method of step Fourier transform.The second-order solitons are compressed and their amplitude oscillates during the propagation.Periodic collision does not take place during propagation process of two second-order solitons.Two second-order solitons will periodically yield a smaller soliton when their time-interval is small enough.It is concluded that the propagation characteristics of second-order soliton are different from those of one-order soliton.