飞秒光纤系统中相对相位诱导平面波背景上孤子的态转换

State Transition of Solitons Induced by Relative Phase on a Plane Wave Background in Optical Fiber

本文基于构造Hirota模型中非线性波精确解,研究了飞秒光纤系统中相对相位诱导平面波背景上基本孤子的态转换以及孤子与呼吸子碰撞过程中孤子的态转换问题。研究发现,呼吸子的激发结构并不会随不同相对相位的初始扰动发生显著改变,但相对相位变化可以诱导平面波背景上孤子的分布发生改变,且诱导反暗孤子态转换为非有理型W形孤子。进一步,相对相位也会诱导孤子与呼吸子碰撞过程中孤子的结构改变及态转换。研究结果揭示了相对相位影响孤子结构,孤子态转换的物理机制,对在探究光学系统中平面波背景上新的孤子种类、理解非线性波相互作用本质方面有重要意义。

The relative phase of nonlinear waves is a crucial parameter in establishing their structure,properties,and types,as well as in nonlinear wave interactions.In this paper,we construct the solution of the Kuznetsov-Ma breather,soliton,and the interaction between soliton and breather with relative phase on the plane-wave background of the Hirota model.Exploring the relative phase induced conversion of Kuznetsov-Ma breather into different solitons,and the relative phase induced soliton state transition during a breather-soliton collision.First,the study discovered the relative phase does not affect the structure of the Kuznetsov-Ma breather,as demonstrated,because the relative phase of the Kuznetsov-Ma breather changes during evolution.We plot the relative phase variation with z for breathers of the different initial states.However,altering the relative phase can cause a change in the distribution of solitons and even the type of solitons,resulting in a diverse range of soliton forms.For example,it is converted from an anti-dark soliton to a non-rational W-shaped soliton.Because solitons usually have constant relative phases independent of the propagation distance.Therefore,the relative phase can significantly change the structures and even the types of solitons.Furthermore,when the relative phase is introduced into soliton-breather collisions,the soliton distribution before and after the collision changes considerably,transitioning from an anti-dark to a non-rational W-shaped soliton.The reason for this is that the collision of different nonlinear waves causes an additional phase shift,which causes a change in the relative phase of the basis between the perturbation and the background,resulting in a change in the soliton structure or even a state transition after the collision.These results show how relative phase affects soliton structure and state transition,which is important for investigating new types of solitons on the plane-wave background of optical systems and understanding the nature of nonlinear wave interactions.