Lax pair and vector semi-rational nonautonomous rogue waves for a coupled time-dependent coefficient fourth-order nonlinear Schrodinger system in an inhomogeneous optical fiber  

作　　者：Zhong Du Bo Tian Qi-Xing Qu Xue-Hui Zhao 杜仲;田播;屈启兴;赵学慧(State Key Laboratory of Information Photonics and Optical Communications,and School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China;School of Information,University of International Business and Economics,Beijing 100029,China)

机构地区：[1]State Key Laboratory of Information Photonics and Optical Communications,and School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China [2]School of Information,University of International Business and Economics,Beijing 100029,China

出　　处：《Chinese Physics B》2020年第3期55-61,共7页中国物理B（英文版）

基　　金：Project supported by the BUPT Excellent Ph.D.Students Foundation(Grant No.CX2019201);the National Natural Science Foundation of China(Grant Nos.11772017 and 11805020);the Fund of State Key Laboratory of Information Photonics and Optical Communications(Beijing University of Posts and Telecommunications),China(Grant No.IPOC:2017ZZ05);the Fundamental Research Funds for the Central Universities of China(Grant No.2011BUPTYB02)。

摘　　要：Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves.Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves.

关 键 词：inhomogeneous optical fiber Lax pair coupled time-dependent coefficient fourth-order nonlinear Schrodinger system vector semi-rational nonautonomous rogue waves breathers 

分 类 号：TN253[电子电信—物理电子学]