A new approach to the analytic soliton solutions for the variable-coefficient higher-order nonlinear Schrodinger model in inhomogeneous optical fibers

被引:13
|
作者
Liu, Wen-Jun [1 ]
Tian, Bo [1 ,2 ,3 ]
Wang, Pan [1 ]
Jiang, Yan [1 ]
Sun, Kun [1 ]
Li, Min [1 ]
Qu, Qi-Xing [1 ]
机构
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Informat Photon & Opt Commun BUPT, Beijing 100876, Peoples R China
基金
中国国家自然科学基金;
关键词
variable-coefficient higher-order nonlinear Schrodinger equation; bilinear form; soliton solution; dispersion profile; symbolic computation; DISPERSIVE DIELECTRIC FIBERS; DARK SOLITONS; SYMBOLIC-COMPUTATION; BACKLUND TRANSFORMATION; MULTISOLITON SOLUTIONS; 3RD-ORDER DISPERSION; ULTRASHORT SOLITON; PULSE-PROPAGATION; DECREASING FIBER; EQUATION;
D O I
10.1080/09500341003624735
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, for the propagation of the ultra-short optical pulses in the normal dispersion regime of inhomogeneous optical fibers, the variable-coefficient higher-order nonlinear Schrodinger equation is investigated. A bilinear form and analytic soliton solutions are obtained with the help of the modified Hirota method and symbolic computation. Through choosing the different dispersion profiles of the inhomogeneous optical fibers, relevant properties of the soliton solution are graphically discussed. Parabolic-type evolution of the soliton is observed. Additionally, periodic and s-shaped solitons are derived, respectively. Finally, a possibly applicable compression technique for the dark soliton is proposed. The results might be of potential application to soliton control, soliton compression, signal amplification and dispersion management.
引用
收藏
页码:309 / 315
页数:7
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