Solitons in nonlinear systems with higher-order effects

被引：3
|
作者：
Wang, Xiu-Bin [1 ]
Han, Bo [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 111卷
基金：
中国国家自然科学基金;
关键词：
The higher-order nonlinear; Schrodinger (HGNLS) equation; Soliton solutions; Periodic solutions; Interaction phenomena; SCHRODINGER-EQUATION; WAVE SOLUTIONS; BREATHER;
D O I：
10.1016/j.aml.2020.106656
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the higher-order generalized nonlinear Schrodinger equation describing the propagation of ultrashort optical pulse in optical fibers. The Hirota's bilinear method is employed to succinctly derive one-soliton and two-soliton solutions of the equation. Furthermore, the main characteristics of these solutions are graphically demonstrated. In particular, the influences of each parameters on period interactions between solitons are discussed in detail, and the approach of how to control the cycle of interactions is analyzed. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：5
相关论文
共 50 条
  • [21] Impact of higher-order effects on pulsating, erupting and creeping solitons
    S. C. V. Latas
    M. F. S. Ferreira
    M. V. Facão
    Applied Physics B, 2011, 104 : 131 - 137
  • [22] Impact of higher-order effects on pulsating, erupting and creeping solitons
    Latas, S. C. V.
    Ferreira, M. F. S.
    Facao, M. V.
    APPLIED PHYSICS B-LASERS AND OPTICS, 2011, 104 (01): : 131 - 137
  • [23] Propagation of dark solitons with higher-order effects in optical fibers
    Mahalingam, A
    Porsezian, K
    PHYSICAL REVIEW E, 2001, 64 (04): : 9
  • [24] BREAKUP OF BOUND HIGHER-ORDER SOLITONS
    FRIBERG, SR
    DELONG, KW
    OPTICS LETTERS, 1992, 17 (14) : 979 - 981
  • [25] Radiationless Higher-Order Embedded Solitons
    Fujioka, Jorge
    Espinosa, Aurea
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2013, 82 (03)
  • [26] Propagation of dark solitons in a system of coupled higher-order nonlinear Schrodinger equations
    Mahalingam, A
    Porsezian, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (13): : 3099 - 3109
  • [27] Effect of higher-order terms on nonlinear Schrodinger dark solitons in optical fibres
    Ao Sheng-Mei
    Yan Jia-Ren
    CHINESE PHYSICS LETTERS, 2006, 23 (10) : 2774 - 2777
  • [28] Small amplitude solitons in the higher-order nonlinear Schrodinger equation in an optical fibre
    Wang, FJ
    Tang, Y
    CHINESE PHYSICS LETTERS, 2003, 20 (10) : 1770 - 1772
  • [29] Realizing higher-order nonlinear Wiener adaptive systems
    Ogunfunmi, T
    2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS, 2005, : 2843 - 2846
  • [30] On the Nonlinear Modeling of Systems with Higher-Order Nonholonomic Constraints
    Hervas, Jaime Rubio
    Reyhanoglu, Mahmut
    2013 13TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2013), 2013, : 1009 - 1013
12345