EXACT SOLUTIONS OF BETA-FRACTIONAL FOKAS-LENELLS EQUATION VIA SINE-COSINE METHOD

被引:6
|
作者
Ala, Volkan [1 ]
Rakhimzhanov, Berik [2 ]
机构
[1] Mersin Univ, Sci Fac, Dept Math, Mersin, Turkiye
[2] JSC Natl Co Kazakhstan Gharysh Sapary, Astana, Kazakhstan
关键词
Sine-cosine method; exact solutions; beta derivative; Fokas-Lenells equation; OPTICAL SOLITONS;
D O I
10.14529/mmp230201
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In nonlinear plasma physics, photonics and optics, the space-time fractional nonlinear Fokas-Lenells equation associated with beta derivative has significiant applications. This equation is used in this study to provide precise solutions using the Sine-Cosine method. Furthermore, using computer software, we plot the 2D-3D figures of the obtained solutions based on the appropriate parameters. The findings indicate that the suggested technique is simple, efficient and capable of producing complete solutions to nonlinear models due to mathematical physics.
引用
收藏
页码:5 / 13
页数:9
相关论文
共 50 条
  • [1] Exact solutions of nonlocal Fokas-Lenells equation
    Zhang, Qinyu
    Zhang, Yi
    Ye, Rusuo
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 98 : 336 - 343
  • [2] Analytical Solutions of Nonlinear Beta Fractional Schrodinger Equation Via Sine-Cosine Method
    Ala, Volkan
    Shaikhova, Gaukhar
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (11) : 3033 - 3038
  • [3] The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication
    Albosaily, Sahar
    Mohammed, Wael
    El-Morshedy, Mahmoud
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3552 - 3567
  • [4] Analytical Solutions of Nonlinear Beta Fractional Schrödinger Equation Via Sine-Cosine Method
    Volkan Ala
    Gaukhar Shaikhova
    [J]. Lobachevskii Journal of Mathematics, 2022, 43 : 3033 - 3038
  • [5] Exact solutions and dynamic properties of perturbed Fokas-Lenells equation
    Jiang, Yu-Hang
    Wang, Chun-yan
    [J]. JOURNAL OF OPTICS-INDIA, 2024,
  • [6] The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method
    Zhao, Yan-Nan
    Wang, Na
    [J]. BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [7] The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method
    Yan-Nan Zhao
    Na Wang
    [J]. Boundary Value Problems, 2022
  • [8] New Exact Solutions of the New Hamiltonian Amplitude Equation and Fokas-Lenells Equation
    Demiray, Seyma Tuluce
    Bulut, Hasan
    [J]. ENTROPY, 2015, 17 (09) : 6025 - 6043
  • [9] Fractional Fokas-Lenells equation: analyzing travelling waves via advanced analytical method
    Alqudah, Mohammad
    Alderremy, A. A.
    Al-Sawalha, M. Mossa
    Khan, Imran
    Aly, Shaban
    [J]. PHYSICA SCRIPTA, 2024, 99 (06)
  • [10] New exact solitary waves solutions to the fractional Fokas-Lenells equation via Atangana-Baleanu derivative operator
    Rezazadeh, Hadi
    Souleymanou, Abbagari
    Korkmaz, Alper
    Khater, Mostafa M. A.
    Mukam, Serge P. T.
    Kuetche, Victor K.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (31):