Highly dispersive Optical solitons to the generalized third-order nonlinear Schrödinger dynamical equation with applications

被引：41
|
作者：
Rabie, Wafaa B. [1 ]
Seadawy, Aly R. [2 ]
Ahmed, Hamdy M. [3 ]
机构：
[1] Higher Inst Engn & Technol, Dept Phys & Engn Math, Tanta, Egypt
[2] Taibah Univ, Dept Math, Fac Sci, Al Madinah Al Munawarah, Saudi Arabia
[3] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, Cairo, Egypt
来源：
OPTIK | 2021年 / 241卷
关键词：
Extended simplest equation method; Solitons; Generalized third-order nonlinear Schrodinger equation; EXTENDED SIMPLEST EQUATION; GINZBURG-LANDAU EQUATION; SCHRODINGER-EQUATION; HIGHER-ORDER; BRIGHT; LAW;
D O I：
10.1016/j.ijleo.2021.167109
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this work, the generalized third-order nonlinear Schrodinger equation is studied by using extended simplest equation method. Different types of solutions are obtained such as bright solitons, dark solitons, singular solitons, singular-bright combo solitons, periodic solutions and other solutions. Moreover, the graphs for some solutions are presented.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] Sharp Global Well-Posedness for the Cubic Nonlinear Schrödinger Equation with Third Order Dispersion
    Carvajal, X.
    Panthee, M.
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2024, 30 (02)
  • [42] Conformal duality of the nonlinear Schrödinger equation: Theory and applications to parameter estimation
    Reinhardt, David B.
    Lee, Dean
    Schleich, Wolfgang P.
    Meister, Matthias
    PHYSICAL REVIEW RESEARCH, 2025, 7 (01):
  • [43] Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers
    Jigen Chen
    Zitong Luan
    Qin Zhou
    Abdullah Kamis Alzahrani
    Anjan Biswas
    Wenjun Liu
    Nonlinear Dynamics, 2020, 100 : 2817 - 2821
  • [44] Optical solitons and stability analysis for the generalized second-order nonlinear Schrodinger equation in an optical fiber
    Raza, Nauman
    Arshed, Saima
    Javid, Ahmad
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2020, 21 (7-8) : 855 - 863
  • [45] Abundant solitons for highly dispersive nonlinear Schrödinger equation with sextic-power law refractive index using modified extended direct algebraic method
    Rabie, Wafaa B.
    Hussein, Hisham H.
    Ahmed, Hamdy M.
    Alnahhass, Mahmoud
    Alexan, Wassim
    ALEXANDRIA ENGINEERING JOURNAL, 2024, 86 : 680 - 689
  • [46] Instability of the solitary waves for the generalized derivative nonlinear Schr?dinger equation in the degenerate case
    Miao, Changxing
    Tang, Xingdong
    Xu, Guixiang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 361 : 339 - 375
  • [47] Physical constructions of kink, anti-kink optical solitons and other solitary wave solutions for the generalized nonlinear Schrödinger equation with cubic-quintic nonlinearity
    Wang, Jun
    Shehzad, Khurrem
    Arshad, Muhammad
    Seadawy, Aly R.
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
  • [48] Conservation laws, modulation instability and solitons interactions for a nonlinear Schrödinger equation with the sextic operators in an optical fiber
    Zhong-Zhou Lan
    Bo-Ling Guo
    Optical and Quantum Electronics, 2018, 50
  • [49] Chirped optical solitons of the perturbed resonant nonlinear Schrödinger equation with dual-power law nonlinearity
    Wei, Tian-Xing
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (13)
  • [50] Optical soliton solutions for the nonlinear Schrödinger equation with higher-order dispersion arise in nonlinear optics
    Ahmed, Hakima Khudher
    Ismael, Hajar Farhan
    PHYSICA SCRIPTA, 2024, 99 (10)
12345