光孤子传输中奇异波和孤子解的动力学特性研究  

Research on Dynamics of the Rogue Wave and Soliton for the Optical Soliton Transmission

作　　者：宋妮[1] 薛慧 薛亚奎[1] SONG Ni;XUE Hui;XUE Yakui(School of Science,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学理学院,太原030051

出　　处：《重庆理工大学学报（自然科学）》2020年第4期165-169,共5页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金项目(11602232);山西省自然科学基金项目(201801D221040)。

摘　　要：研究了光孤子传输中奇异波和孤子解的非线性动力学特性。首先,利用相似变换,将光孤子传输方程转化为常系数非线性薛定谔方程,基于标准非线性薛定谔方程得到该方程奇异波和两孤子解的解析表达式;其次,选取不同的增益或损耗系数,研究奇异波的非线性动力学特性;最后,利用数值模拟分析了两孤子相互作用的演化图。该研究结果可为实验技术的实现提供理论依据。The nonlinear dynamics of the rogue waves and the soliton solutions are investigated for the transmission of the optical soliton. Using the similarity transformation,the generalized nonlinear Schr dinger equation with variable coefficients is converted into the nonlinear Schr dinger equation with constant coefficients. The rogue waves and the soliton solutions are obtained in terms of the solutions for the normalized nonlinear Schr dinger equation. The first-order solution of the rogue wave are discussed by choosing different gain or loss coefficient. The nonlinear dynamics of the interaction between the two solitons are analyzed according to the numerical stimulation. The results may provide the theoretical evidence to realize the test technology.

关 键 词：非线性薛定谔方程 相似变换 奇异波 孤子 

分 类 号：O175[理学—数学]