自傅立叶光孤子的相互作用特性

用分步傅立叶变换方法数值求解非线性薛定谔方程，研究了一阶自傅立叶光孤子信号在光纤传输中的相互作用特性。证明了算法内部不存在理论误差。数值模拟结果表明：（1）一阶自傅立叶孤子对中的相互作用表现不同于一阶标准孤子对，它类似于二阶或准二阶孤子之间的相互作用特性。两孤子经历一段周期性的相互吸引后，出现强烈的相互排斥；（2）孤子相互作用特性不足以用孤子的阶去区分或分类，在同一阶的孤子中，不同的脉宽对孤子的相互作用有显著不同的影响；（3）微弱的三阶色散效应有利于抑制一阶自傅立叶孤子间的相互作用。

Interaction of self-Fourier optical solitons

In terms of split-step Fourier transform method, the numerical solution of nonlinear Schrodinger equation is gotten. The interaction of first-order Self-Fourier optical soliton in optical fibers is studied numerically. It is proved that there is not any theoretical error in the inner part of algorithm. The results of numerical simulation show that: (1) The interaction between a couple of first-order Self-Fourier solitons are different from first-order standard soliton. It is similar to the interaction between a couple of second-order solitons or a couple of second-order quasi-solitons. The solitons repel each other even more strongly after an initial attraction stage; (2) It is not enough to recognizing and classifying the characteristics of interaction between two solitons according by the order of soliton. The different pulse width have the different influences to the interaction of solitons or in the same order; (3) A little third-order dispersion may restrict the interaction between the neighboring first-order Self-Fourier solitons.