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.

近年来，在光纤的背景下，对流氓波及其变体进行了相当广泛的研究。已经认识到，与非线性对应物相比，光纤中的色散管理在实验上更加可行。在这项工作中，我们报告了非线性Schrödinger方程的前三个有理解的Kuznetsov-Ma（KM）类呼吸器，并沿纤维轴周期性调制了色散系数。通气动力学然后通过调制参数的适当选择来控制。此外，已经显示了与二阶有理解相对应的新的类似一个峰值和一个两个峰值的通气解的演化。还执行了基于调制不稳定性的直接数值模拟，与分析结果非常吻合，