相干耦合光纤系统中孤子与呼吸子间的相互作用

Interactions Between Soliton and Breathers in Coherently Coupled Fiber System

本文基于变系数相干耦合非线性薛定谔方程组的复合波解,研究了均匀和非均匀相干耦合光纤系统中平面波背景上的孤子与Akhmediev呼吸子和Kuznetsov-Ma呼吸子间的相互作用.研究发现,孤子与Akhmediev呼吸子间存在弹性碰撞 、准弹性碰撞和非弹性碰撞三种形式,而孤子与Kuznetsov-Ma呼吸子间呈现弹性碰撞或平行传输.进一步,通过研究一种周期扰动的非均匀相干耦合光纤系统,发现色散和非线性的周期扰动不会影响孤子与呼吸子相互作用的本质,但均会引起复合波振幅的波动;另外,仅色散扰动会导致孤子的轨迹产生波动,而非线性的扰动不会影响孤子的轨迹.

Based on the composite wave solutions of the variable coefficient coherently coupled nonlinear Schrodinger equations,the interactions between soliton on a plane wave background and Akhmediev breather or Kuznetsov-Ma breather in coherently coupled homogeneous and inhomogeneous fiber systems are studied in this paper.It is found that there exist three types of collisions including elastic collision,quasi-elastic collision and inelastic collision between the soliton and Akhmediev breather,while the interaction between the soliton and Kuznetsov-Ma breather is characterized by parallel transmission or elastic collision.Furthermore,it is revealed that in a coherently coupled inhomogeneous fiber system with periodic perturbation,the periodically perturbed dispersion and nonlinearity do not affect the characteristics of the interactions between soliton and breathers except for the amplitude fluctuation of the composite waves.In addition,only the dispersion perturbation leads to the fluctuation of the soliton trajectory,while the nonlinearity perturbation can not affect the trajectory of the soliton.