NEW PERSPECTIVE TO THE COUPLED FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS IN DUAL-CORE OPTICAL FIBERS

被引:0
|
作者
Wang, Kang-le [1 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
关键词
Soliton Solution; Optical Fibers; Fractional (e-phi(xi))-expansion Method; Fractional Rational sinh-cosh Function Method; HIROTA;
D O I
10.1142/S0218348X25500343
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a fractional dual-core optical fiber model is considered, which is described as a coupled fractional nonlinear Schr & ouml;dinger equation. The fractional (e-phi(xi))-expansion method and fractional rational sinh-cosh function method have been successfully employed to derive various new soliton solutions for the coupled fractional nonlinear Schr & ouml;dinger equations. These obtained solutions are of great significance for a deeper understanding of the corresponding physical phenomena. Finally, some 3D and 2D graphs are provided to elaborate the physical explanation of the obtained solutions.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] Coupled nonlinear Schrödinger equations with harmonic potential
    Hezzi H.
    Nour M.M.
    Saanouni T.
    Arabian Journal of Mathematics, 2018, 7 (3) : 195 - 218
  • [22] Šilnikov manifolds in coupled nonlinear Schrödinger equations
    Haller, G.
    Menon, G.
    Rothos, V.M.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1999, 263 (03): : 175 - 185
  • [23] CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRDINGER EQUATIONS
    李晓光
    张健
    AppliedMathematicsandMechanics(EnglishEdition), 2005, (10) : 117 - 122
  • [24] Dynamics of optical and multiple lump solutions to the fractional coupled nonlinear Schrödinger equation
    Shafqat Ur-Rehman
    Jamshad Ahmad
    Optical and Quantum Electronics, 2022, 54
  • [25] A new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger systems
    A. H. Bhrawy
    E. H. Doha
    S. S. Ezz-Eldien
    Robert A. Van Gorder
    The European Physical Journal Plus, 129
  • [26] Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations
    Md. Morshedul Haque
    M. Ali Akbar
    M. S. Osman
    Optical and Quantum Electronics, 2022, 54
  • [27] Bound-state dark/antidark solitons for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers
    Min Li
    Jing-Hua Xiao
    Yan Jiang
    Ming Wang
    Bo Tian
    The European Physical Journal D, 2012, 66
  • [28] EXACT TRAVELING WAVE SOLUTIONS OF THE COUPLED LOCAL FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS FOR OPTICAL SOLITONS ON CANTOR SETS
    Fu, Lei
    Bi, Yuan-hong
    Li, Jing-jing
    Yang, Hong-wei
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (04)
  • [29] Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative
    Wenjing Song
    Ganshan Yang
    Boundary Value Problems, 2018
  • [30] A mass-energy preserving Galerkin FEM for the coupled nonlinear fractional Schrödinger equations
    Guoyu Zhang
    Chengming Huang
    Meng Li
    The European Physical Journal Plus, 133