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
相关论文
共 50 条
  • [1] ANALYTIC DARK SOLITON SOLUTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT HIGHER-ORDER NONLINEAR SCHRODINGER EQUATION IN OPTICAL FIBERS USING SYMBOLIC COMPUTATION
    Meng, Xiang-Hua
    Sun, Zhi-Yuan
    Zhang, Chun-Yi
    Tian, Bo
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (04): : 499 - 509
  • [2] Soliton interactions for a generalized variable-coefficient coupled higher-order nonlinear Schrodinger system in an inhomogeneous optical fiber
    Liu, Lei
    Tian, Bo
    Chai, Jun
    Chai, Han-Peng
    LASER PHYSICS, 2017, 27 (07)
  • [3] Soliton-like solutions of a generalized variable-coefficient higher order nonlinear Schrodinger equation from inhomogeneous optical fibers with symbolic computation
    Li, Juan
    Zhang, Hai-Qiang
    Xu, Tao
    Zhang, Ya-Xing
    Tian, Bo
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (44) : 13299 - 13309
  • [4] Dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in the inhomogeneous optical fiber
    Sun, Yan
    Tian, Bo
    Wu, Xiao-Yu
    Liu, Lei
    Yuan, Yu-Qiang
    MODERN PHYSICS LETTERS B, 2017, 31 (12):
  • [5] Variable-coefficient higher-order nonlinear Schrodinger model in optical fibers: New transformation with burstons, brightons and symbolic computation
    Tian, Bo
    Gao, Yi-Tian
    PHYSICS LETTERS A, 2006, 359 (03) : 241 - 248
  • [6] Variable-coefficient higher-order nonlinear Schrodinger model in optical fibers: Variable-coefficient bilinear form, Backlund transformation, brightons and symbolic computation
    Tian, Bo
    Gao, Yi-Tian
    Zhu, Hong-Wu
    PHYSICS LETTERS A, 2007, 366 (03) : 223 - 229
  • [7] Lax Pair, Improved Γ-Riccati Backlund Transformation and Soliton-Like Solutions to Variable-Coefficient Higher-Order Nonlinear Schrodinger Equation in Optical Fibers
    Lu, Yinglin
    Wei, Guangmei
    Liu, Xin
    ACTA APPLICANDAE MATHEMATICAE, 2019, 164 (01) : 185 - 192
  • [8] Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in an inhomogeneous optical fiber
    Feng, Yu-Jie
    Gao, Yi-Tian
    Sun, Zhi-Yuan
    Zuo, Da-Wei
    Shen, Yu-Jia
    Sun, Yu-Hao
    Xue, Long
    Yu, Xin
    PHYSICA SCRIPTA, 2015, 90 (04)
  • [9] Integrability and soliton-like solutions for the coupled higher-order nonlinear Schrodinger equations with variable coefficients in inhomogeneous optical fibers
    Wang, Yu-Feng
    Tian, Bo
    Li, Min
    Wang, Pan
    Wang, Ming
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (06) : 1783 - 1791
  • [10] Dark soliton solutions for the coupled variable-coefficient fourth-order nonlinear Schrodinger equations in the inhomogeneous optical fiber
    Jia, Rui-Rui
    Wang, Yu-Feng
    WAVE MOTION, 2022, 114