New exact solutions for higher order nonlinear Schrodinger equation in optical fibers

被引:67
|
作者
Eslami, Mostafa [1 ]
Neirameh, Ahmad [2 ]
机构
[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
[2] Gonbad Kavous Univ, Fac Sci, Dept Math, Gonbad, Iran
关键词
Exact solution; Schrodinger equation; exp(-phi(xi))-expansion method; TRAVELING-WAVE SOLUTIONS; SOLITONS; POISSON;
D O I
10.1007/s11082-017-1310-2
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Nonlinear Schrodinger equation (NLSE) is now one of the prominent of modern physics, mathematics and chemistry. Over these fields, the NLSE is also applied in new emerging fields such as quantum information and econophysics. In this paper we investigate for new exact solutions of higher order nonlinear Schrodinger's equation. This method allows to carry out the solution process of nonlinear wave equations more thoroughly and conveniently by computer algebra systems such as the Maple and Mathematica. In addition to providing a different way of solving the Schrodinger equation for such systems, the simplicity of the algorithm renders it a great pedagogical value.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Exact Solutions of the Higher Order Nonlinear Schrodinger Equation
    Luo, Tianqi
    Huang, Xin
    PROCEEDINGS OF 2016 12TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2016, : 19 - 22
  • [2] New exact solutions for higher order nonlinear Schrödinger equation in optical fibers
    Mostafa Eslami
    Ahmad Neirameh
    Optical and Quantum Electronics, 2018, 50
  • [3] Exact solutions to nonlinear Schrodinger equation and higher-order nonlinear Schrodinger equation
    Ren Ji
    Ruan Hang-Yu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (03) : 575 - 578
  • [4] Exact soliton solutions for the higher-order nonlinear Schrodinger equation
    Li, B
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (08): : 1225 - 1237
  • [5] Exact analytical solutions of higher-order nonlinear Schrodinger equation
    Wang, Hongcheng
    Liang, Jianchu
    Chen, Guihua
    Zhou, Ling
    Ling, Dongxiong
    Liu, Minxia
    OPTIK, 2017, 131 : 438 - 445
  • [6] Bifurcation and optical solutions of the higher order nonlinear Schrodinger equation
    Tala-Tebue, Eric
    Tetchoka-Manemo, Cedric
    Inc, Mustafa
    Ejuh, Geh Wilson
    Alqahtani, Rubayyi T.
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (05)
  • [7] Optical soliton solutions of higher order nonlinear Schrodinger equation in monomode fibers and its applications
    Tariq, Kalim U.
    Seadawy, Aly R.
    OPTIK, 2018, 154 : 785 - 798
  • [8] Optical solitons in monomode fibers with higher order nonlinear Schrodinger equation
    Tariq, Kalim U.
    Younis, Muhammad
    Rizvi, S. T. R.
    OPTIK, 2018, 154 : 360 - 371
  • [9] Structures of exact and solitary optical solutions for the higher-order nonlinear Schrodinger equation and its applications in mono-mode optical fibers
    Lu, Dianchen
    Seadawy, Aly R.
    Khater, Mostafa M. A.
    MODERN PHYSICS LETTERS B, 2019, 33 (23):
  • [10] Exact solutions for a higher-order nonlinear Schrodinger equation in atmospheric dynamics
    Huang, F
    Tang, XY
    Lou, SY
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (03) : 573 - 576