Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrodinger equation

被引：116
|
作者：
Liu, Xiaoyan [1 ,2 ]
Liu, Wenjun [1 ,2 ]
Triki, Houria [3 ]
Zhou, Qin [4 ]
Biswas, Anjan [5 ,6 ,7 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, POB 122, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, POB 122, Beijing 100876, Peoples R China
[3] Badji Mokhtar Univ, Radiat Phys Lab, Dept Phys, Fac Sci, POB 12, Annaba 23000, Algeria
[4] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Hubei, Peoples R China
[5] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA
[6] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[7] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa
来源：
NONLINEAR DYNAMICS | 2019年 / 96卷 / 02期
基金：
中国国家自然科学基金;
关键词：
The Hirota bilinear method; Soliton solutions; Periodic attenuating oscillation; OPTICAL SOLITONS; LASER; DISPERSION; WAVE; TRANSMISSION; MODULATION; BOUSSINESQ; ABSORBERS; WELL;
D O I：
10.1007/s11071-019-04822-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
According to the change in the amplitude of the oscillation, it can be divided into equal-amplitude oscillation, amplitude-reduced oscillation (attenuating oscillation) and amplitude-increasing oscillation (divergence oscillation). In this paper, the periodic attenuating oscillation of solitons for a higher-order variable coefficient nonlinear Schrodinger equation is investigated. Analytic one- and two-soliton solutions of this equation are obtained by the Hirota bilinear method. By analyzing the soliton propagation properties, we study how to choose the corresponding parameters to control the soliton propagation and periodic attenuation oscillation phenomena. Results might be of significance for the study of optical communications including soliton control, amplification, compression and interactions.
引用
收藏
页码：801 / 809
页数：9
相关论文
共 50 条
  • [41] Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrodinger equation
    Wang, Lei
    Zhu, Yu-Jie
    Wang, Zi-Zhe
    Qi, Feng-Hua
    Guo, Rui
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 33 : 218 - 228
  • [42] Self-similar soliton-like solution for coupled higher-order nonlinear Schrodinger equation with variable coefficients
    Li, Hongjuan
    Tian, Jinping
    Yang, Rongcao
    Song, Lijun
    [J]. OPTIK, 2015, 126 (11-12): : 1191 - 1195
  • [43] Soliton and breather solutions for the seventh-order variable-coefficient nonlinear Schrodinger equation
    Jin, Jie
    Zhang, Yi
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (08)
  • [44] A new approach to the analytic soliton solutions for the variable-coefficient higher-order nonlinear Schrodinger model in inhomogeneous optical fibers
    Liu, Wen-Jun
    Tian, Bo
    Wang, Pan
    Jiang, Yan
    Sun, Kun
    Li, Min
    Qu, Qi-Xing
    [J]. JOURNAL OF MODERN OPTICS, 2010, 57 (04) : 309 - 315
  • [45] New solitons for the Hirota equation and generalized higher-order nonlinear Schrodinger equation with variable coefficients
    Dai, CQ
    Zhang, JF
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (04): : 723 - 737
  • [46] A higher-order perturbation analysis of the nonlinear Schrodinger equation
    Bonetti, J.
    Hernandez, S. M.
    Fierens, P., I
    Grosz, D. F.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 72 : 152 - 161
  • [47] 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
    [J]. PHYSICA SCRIPTA, 2015, 90 (04)
  • [48] Band gaps and lattice solitons for the higher-order nonlinear Schrodinger equation with a periodic potential
    Cole, Justin T.
    Musslimani, Ziad H.
    [J]. PHYSICAL REVIEW A, 2014, 90 (01):
  • [49] Painleve analysis of a higher-order nonlinear Schrodinger equation
    Sakovich, SY
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (09) : 2527 - 2529
  • [50] ASYMPTOTICS FOR THE HIGHER-ORDER DERIVATIVE NONLINEAR SCHRODINGER EQUATION
    Naumkin, Pavel, I
    Sanchez-Suarez, Isahi
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (04) : 1447 - 1478
12345