New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method

被引:99
作者
Ali, Khalid K. [1 ]
Osman, M. S. [2 ,3 ]
Abdel-Aty, Mahmoud [4 ]
机构
[1] Al Azhar Univ, Fac Sci, Math Dept, Nasr City Cairo, Egypt
[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
[3] Umm Alqura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia
[4] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
关键词
Solitary wave; Fokas-Lenells equation; Complex transformation; Sine-Gordon expansion method; ENTROPY; SYSTEM; PHASE;
D O I
10.1016/j.aej.2020.01.037
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This article presents soliton solutions to a generalized nonlinear Fokas-Lenells equation via the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the two and three-dimensional figures for the solutions are given. It is shown that the proposed methodology provides powerful mathematical tools for obtaining the exact traveling wave solutions of different nonlinear evolution equations. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码:1191 / 1196
页数:6
相关论文
共 44 条
  • [21] Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers
    Lenells, Jonatan
    [J]. STUDIES IN APPLIED MATHEMATICS, 2009, 123 (02) : 215 - 232
  • [22] A variety of nonautonomous complex wave solutions for the (2+1)-dimensional nonlinear Schrodinger equation with variable coefficients in nonlinear optical fibers
    Liu, Jian-Guo
    Osman, M. S.
    Wazwaz, Abdul-Majid
    [J]. OPTIK, 2019, 180 : 917 - 923
  • [23] Phase-shift controlling of three solitons in dispersion-decreasing fibers
    Liu, Suzhi
    Zhou, Qin
    Biswas, Anjan
    Liu, Wenjun
    [J]. NONLINEAR DYNAMICS, 2019, 98 (01) : 395 - 401
  • [24] Dromion-like soliton interactions for nonlinear Schrodinger equation with variable coefficients in inhomogeneous optical fibers
    Liu, Wenjun
    Zhang, Yujia
    Luan, Zitong
    Zhou, Qin
    Mirzazadeh, Mohammad
    Ekici, Mehmet
    Biswas, Anjan
    [J]. NONLINEAR DYNAMICS, 2019, 96 (01) : 729 - 736
  • [25] Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrodinger equation
    Liu, Xiaoyan
    Liu, Wenjun
    Triki, Houria
    Zhou, Qin
    Biswas, Anjan
    [J]. NONLINEAR DYNAMICS, 2019, 96 (02) : 801 - 809
  • [26] Diversity of interaction solutions to the (2+1)-dimensional Ito equation
    Ma, Wen-Xiu
    Yong, Xuelin
    Zhang, Hai-Qiang
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (01) : 289 - 295
  • [27] Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
    Ma, Wen-Xiu
    Zhou, Yuan
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (04) : 2633 - 2659
  • [28] A multiple exp-function method for nonlinear differential equations and its application
    Ma, Wen-Xiu
    Huang, Tingwen
    Zhang, Yi
    [J]. PHYSICA SCRIPTA, 2010, 82 (06)
  • [29] A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation
    Ma, Wen-Xiu
    Lee, Jyh-Hao
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1356 - 1363
  • [30] Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
    Ma, WX
    Fuchssteiner, B
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1996, 31 (03) : 329 - 338