用分步傅里叶变换方法数值求解非线性薛定谔方程,研究了一阶自傅里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)一阶自傅里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里叶孤子间的相互作用.
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