Solitons and other solutions of perturbed nonlinear Biswas-Milovic equation with Kudryashov's law of refractive index

被引:55
|
作者
Akinyemi, Lanre [1 ]
Mirzazadeh, Mohammad [2 ]
Hosseini, Kamyar [3 ]
机构
[1] Lafayette Coll, Dept Math, Easton, PA USA
[2] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, East Guilan, Vajargah 44891, Iran
[3] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran
来源
关键词
perturbed Biswas-Milovic equation; simple equation method; (G'/G)-expansion method; new Kudryashov method; Kudryashov's law; SOLITARY WAVE SOLUTIONS; GINZBURG-LANDAU EQUATION; OPTICAL SOLITONS;
D O I
10.15388/namc.2022.27.26374
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas-Milovic equation with Kudryashov's law of refractive index, which describes the propagation of pulses of various types in optical fiber. We apply three efficient and reliable schemes, specifically, the simple equation method, the (G'/G)-expansion method, and the new Kudryashov method. These approaches lead to a range of solitons and other solutions comprising of the bright solitons, dark solitons, singular solitons, periodic, rational, and exponential solutions. These solutions are also presented graphically. Furthermore, all obtained solutions are verified by symbolic computations.
引用
收藏
页码:479 / 495
页数:17
相关论文
共 50 条
  • [21] Stationary solutions for the Biswas-Milovic equation
    Khalique, Chaudry Masood
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (18) : 7400 - 7404
  • [22] Invariant solutions of Biswas-Milovic equation
    Kumar, Sachin
    NONLINEAR DYNAMICS, 2017, 87 (02) : 1153 - 1157
  • [23] Cubic-quartic optical soliton perturbation Biswas-Milovic equation with Kudryashov's law of refractive index using two integration methods
    Zayed, Elsayed M. E.
    Shohib, Reham M. A.
    Gepreel, Khaled A.
    El-Horbaty, Mahmoud M.
    Alngar, Mohamed E. M.
    OPTIK, 2021, 239
  • [24] Invariant solutions of Biswas-Milovic equation
    Sachin Kumar
    Nonlinear Dynamics, 2017, 87 : 1153 - 1157
  • [25] Cubic-quartic optical solitons of perturbed Biswas-Milovic equation having Kudryashov's nonlinear form and two generalized non-local laws
    Zayed, Elsayed M. E.
    Shohib, Reham M. A.
    Alngar, Mohamed E. M.
    Nofal, Taher A.
    Gepreel, Khaled A.
    Yildirim, Yakup
    OPTIK, 2022, 259
  • [26] Dark Peakon, Kink and periodic solutions of the nonlinear Biswas-Milovic equation with Kerr law nonlinearity
    Akram, Ghazala
    Zainab, Iqra
    OPTIK, 2020, 208
  • [27] Optical soliton solutions of nonlinear time fractional Biswas-Milovic equation
    Rupa, M. L.
    Aruna, K.
    OPTIK, 2022, 270
  • [28] Dark optical solitons of Biswas-Milovic equation with dual-power law nonlinearity
    M. Mirzazadeh
    M. Eslami
    Ahmed Hassan Arnous
    The European Physical Journal Plus, 130
  • [29] Optical solitons with Biswas-Milovic equation by extended trial equation method
    Zhou, Qin
    Ekici, M.
    Sonmezoglu, A.
    Mirzazadeh, M.
    Eslami, M.
    NONLINEAR DYNAMICS, 2016, 84 (04) : 1883 - 1900
  • [30] First integrals and general solutions of the Biswas-Milovic equation
    Kudryashov, Nikolay A.
    OPTIK, 2020, 210