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通过数值模拟对飞秒暗孤子间的相互作用进行了研究 ,并且同飞秒亮孤子和皮秒暗孤子分别进行了比较 ,结果表明 :同飞秒亮孤子相比 ,飞秒暗孤子间的相互作用比较小 ,前者表现为相互吸引、碰撞、合二为一 ,然后相互排斥 ,不具有周期性 ;而后者从一开始就相互排斥 ,且这种排斥作用较亮孤子来说相当微弱 ,同样也不具有周期性。此外 ,数值模拟的结果还表明 ,飞秒暗孤子间的相互作用同皮秒尺度下暗孤子间的相互作用基本一致 ,并且通过计算表明 ,飞秒暗孤子间的相互作用在一定范围内仍可利用皮秒尺度下暗孤子间相互作用的经验公式。但是 ,数值模拟结果显示 ,两孤子的初始间距越小 ,由经验公式计算结果所带来的误差就越大。
The interaction between femtosecond dark solitons is studied by numerical simulation and compared with the femtosecond solitons and the picosecond dark solitons respectively. The results show that compared with femtosecond bright solitons, the interaction between the femtosecond dark solitons The former is characterized by attracting, colliding and merging with each other and then being mutually exclusive and not periodic; the latter are mutually exclusive from the very beginning, and the repulsion is rather weak compared to a bright soliton, and similarly Not cyclical. In addition, the results of numerical simulation also show that the interaction between femto dark solitons is basically the same as that between dark solitons under picosecond scales, and the calculations show that the interaction between femto dark solitons can still be within a certain range Empirical formula for the interaction between dark solitons using picosecond scales. However, the numerical simulation results show that the smaller the initial spacing of two solitons, the larger the error caused by the empirical formula calculation.