Accurate Solution Of Optical Rogue Wave Model And Its Simulation And Analysis

Rogue wave originated from ocean system,is a unique physical phenomenon,and its related theories are widely studied in ocean wave theory.Optical rogue wave is one of the important research fields of rogue wave theory system.The study of ocean rogue wave can ensure the life and property safety of crew and passengers.The study of optical rogue wave is helpful to the optical amplification of optical fiber transmission and the generation of supercontinuum spectrum,so as to save a lot of manpower,material and financial resources.At present,the research of optical system with rogue wave as the core mainly starts from two directions: one is to obtain the accurate solution of optical rogue wave under different models,and the other is to process and analyze the optical rogue wave signal,that research is mainly realized through experiments.On the whole,the accurate solution of optical rogue waves is extended from the general scalar equation to the coupling equation,and from the low-order basic model to the introduction of high-order nonlinear terms.The exploration of rogue wave model not only gives the theoretical proof of the existence of rogue waves,but also further shows the local properties and time-varying characteristics of rogue waves,in addition it provides an important theoretical basis for the observation of optical rogue waves in experiments.By comparing and analyzing the giant waves in the optical system and the rogue waves in the ocean,we can study the dynamic characteristics of this extreme behavior on the optical experimental platform,and then promote the research and exploration of rogue waves in other fields.In recent years,in-depth research on the theory of rogue waves has been carried out in the optical fiber system,and rogue waves have been generated in the experiment.These experimental results are important milestones in the history of rogue wave research,and inspire key ideas for exploring the application value of optical rogue wave in optical fiber transmission.In this paper,we mainly consider a(2+1)-dimensional Chen-Lee-Liu equation.We first give the Lax pair of the equation and construct the n-fold Darboux transformation of the(2+1)-dimensional Chen-Lee-Liu equation in terms of the n * n determinants.Through this transformation,the analytical expressions of soliton solution,breather solution and rogue wave solution of the equation are obtained.Then,white noise and colored noise are added for numerical simulation.It is found that the theoretical results are in good agreement with the actual simulation results.It is verified that the accurate solution of optical rogue wave under the model in this paper has strong robustness in optical fiber propagation.Finally,the pulse properties and stable transmission of optical rogue waves are analyzed by comparing different transformations based on Hilbert-Huang transform.Based on the above results,the systematic research of optical rogue wave theory is enriched from a deep level,and it also lays a theoretical foundation for the optical fiber transmission of high-quality,long-distance and ultra-high-speed all-optical communication technology.