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二阶孤子的传输和相互作用
引用本文:方云团,范俊.二阶孤子的传输和相互作用[J].应用光学,2008,29(2):317-320.
作者姓名:方云团  范俊
作者单位:镇江船艇学院,基础实验中心,江苏,镇江,212003
摘    要: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。

关 键 词:二阶孤子  非线性薛定谔方程  分步傅里叶变换法
文章编号:1002-2082(2008)02-0317-04
收稿时间:2007/3/21
修稿时间:2007年3月21日

Propagation and interaction of second-order solitons
FANG Yun-tuan,FAN Jun.Propagation and interaction of second-order solitons[J].Journal of Applied Optics,2008,29(2):317-320.
Authors:FANG Yun-tuan  FAN Jun
Institution:Center of Basic Experiment, Zhenjiang Watercraft College, Zhenjiang 212003, China
Abstract: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.
Keywords:second-order soliton  NLS equation  method of step Fourier transform
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