Influence Of High-order Effects On The Transmission Characteristics Of Second-order Breather And Rogue Wave

In recent years,breather(Akhmediev breather)with periodic oscillating characteristics has become a hot topic.Its stable transmission characteristics and distinctive breathing characteristics have been observed in different fields.The theoretical analysis and numerical simulation of the breather solution in different nonlinear systems are the two main research directions,and the related research results have certain potential applications in the coding of optical soliton-breathers communication.In addition,when the period of the breather gradually increases and even approaches infinity,a localized pulse appears in both the transverse direction and the transmission direction,which is called a Rogue wave.This phenomenon is of great significance for the extraction of high-power pulses and the application of nonlinear optics.Based on the analytical solutions of the nonlinear Schr?dinger equation given by the previous author,the fundamental characteristics of the second-order breathers and second-order rogue wave in the presence of higher-order effects are studied by using numerical methods.The main contents include the following:Firstly,the research backgrounds and status of the rogue wave and breather are presented in detail.Based on the nonlinear Schr?dinger equation,the general expression of rogue wave and breather are obtained.And the generation mechanisms and transmission characteristicses of them are also presented detailedly.Secondly,based on the NLSE including high-order effects,we study the influences of three-order dispersion,self-steepening and self-frequency shift on the second-order breather solitons with the offset is not zero or equal to zero.The results show that the splitting speed is proportional to each higher-order effect coefficient.And then the two breathers are getting closer and closer in the process of transmission,resulting in collisions at certain positions.Finally,the influences of third-order dispersion,Raman gain,self-frequency shift and self-steepening effects on the second-order rogue wa ve are studied detailedly.And the results show that these high-order ef fects cause the pulse split more quickly,and the interactions between d ivided pulses enhance with the increasing of these high-order effect coe fficients.But the other high-order effects have little impact on the puls e center except the self-steepening.