论文标题
分散型孤子的托管生成和kuznetsov-ma呼吸器在光纤中
Dispersion Managed Generation of Peregrine Solitons and Kuznetsov-Ma Breather in an Optical Fiber
论文作者
论文摘要
近年来,在光纤的背景下,对光流动波及其变体进行了广泛的研究。已经意识到,与非线性对应物相比,光纤中的分散管理在实验上更为可行。在这项工作中,我们报告了非线性Schrödinger方程的前三个顺序的kuznetsov-ma(km)样呼吸器,并定期调节沿纤维轴的分散系数。然后,通过正确选择调制参数来控制呼吸动力学。此外,已经显示了与二阶有理解决方案相对应的新的一峰和两峰呼吸器溶液的演变。基于模块不稳定性的直接数值模拟也已经执行,这与分析结果非常吻合,从而使所提出的系统更可行,以实现实现。
Optical rogue waves and its variants have been studied quite extensively in the context of optical fiber in recent years. It has been realized that dispersion management in optical fiber is experimentally much more feasible compared to its nonlinear counterpart. In this work, we report Kuznetsov-Ma (KM)-like breathers from the first three orders of rational solutions of the nonlinear Schrödinger equation with periodic modulation of the dispersion coefficient along the fiber axis. The breather dynamics are then controlled by proper choice of modulating parameters. Additionally, the evolution of new one-peak and two-peak breather-like solutions has been displayed corresponding to the second-order rational solution. Direct numerical simulations based on modulational instability has also been executed which agree well with the analytical results, thereby making the proposed system more feasible for experimental realization.