IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v582y2021ics0378437121005288.html
   My bibliography  Save this article

Analytic solutions of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation

Author

Listed:
  • Bakıcıerler, Gizel
  • Alfaqeih, Suliman
  • Mısırlı, Emine

Abstract

Analytic solutions of fractional order physical equations are very significant to explain the behavior of mathematical models expressing complex phenomena in engineering and natural sciences. The modified extended tanh-function (METHF) method is an especially capable and highly effective mathematical technique to attain analytic traveling wave solutions. This research proposes to examine the analytic solutions of the time-fractional (2+1)-dimensional non-linear Heisenberg ferromagnetic spin chain (HFSC) equation that describes electromagnetic waves in modern magnet theory by using the suggested method and the definition of conformable fractional derivative. We obtain some new analytic solutions of the proposed equation in terms of hyperbolic, trigonometric, and rational functions. The validity and precision of these solutions are also examined. The 2D, 3D, and contour graphs of solutions are given to manifest the physical behavior of the waves with the aid of the Mathematica package program.

Suggested Citation

  • Bakıcıerler, Gizel & Alfaqeih, Suliman & Mısırlı, Emine, 2021. "Analytic solutions of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    • Handle: RePEc:eee:phsmap:v:582:y:2021:i:c:s0378437121005288
    DOI: 10.1016/j.physa.2021.126255
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121005288
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126255?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Seadawy, Aly R. & Nasreen, Naila & Lu, Dianchen & Arshad, Muhammad, 2020. "Arising wave propagation in nonlinear media for the (2+1)-dimensional Heisenberg ferromagnetic spin chain dynamical model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    2. Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2020. "Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    3. Wen, Zhenshu, 2020. "The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Çulha Ünal, Sevil & Daşcıoğlu, Ayşegül & Varol Bayram, Dilek, 2020. "New exact solutions of space and time fractional modified Kawahara equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    5. Du, Xia-Xia & Tian, Bo & Qu, Qi-Xing & Yuan, Yu-Qiang & Zhao, Xue-Hui, 2020. "Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Pan & Ma, Tian-Ping & Qi, Feng-Hua, 2021. "Analytical solutions for the coupled Hirota equations in the firebringent fiber," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    2. Shahu, Chiranjeev K. & Dwivedi, Sharad & Dubey, Shruti, 2022. "Curved domain walls in the ferromagnetic nanostructures with Rashba and nonlinear dissipative effects," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    3. Singh, Sudhir & Sakkaravarthi, K. & Murugesan, K., 2022. "Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Xie, Yingying & Li, Lingfei, 2022. "Multiple-order breathers for a generalized (3+1)-dimensional Kadomtsev–Petviashvili Benjamin–Bona–Mahony equation near the offshore structure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 19-31.
    5. Zhai, Yunyun & Ji, Ting & Geng, Xianguo, 2021. "Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    6. Chen, Su-Su & Tian, Bo & Qu, Qi-Xing & Li, He & Sun, Yan & Du, Xia-Xia, 2021. "Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    7. Yang, Dan-Yu & Tian, Bo & Qu, Qi-Xing & Zhang, Chen-Rong & Chen, Su-Su & Wei, Cheng-Cheng, 2021. "Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    8. Constantin Bota & Bogdan Căruntu & Dumitru Ţucu & Marioara Lăpădat & Mădălina Sofia Paşca, 2020. "A Least Squares Differential Quadrature Method for a Class of Nonlinear Partial Differential Equations of Fractional Order," Mathematics, MDPI, vol. 8(8), pages 1-12, August.
    9. El-Tantawy, S.A. & Salas, Alvaro H. & Alharthi, M.R., 2021. "Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    10. Chaudry Masood Khalique & Karabo Plaatjie, 2021. "Exact Solutions and Conserved Vectors of the Two-Dimensional Generalized Shallow Water Wave Equation," Mathematics, MDPI, vol. 9(12), pages 1-17, June.
    11. Tanwar, Dig Vijay, 2022. "Lie symmetry reductions and generalized exact solutions of Date–Jimbo–Kashiwara–Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    12. Sil, Subhankar & Raja Sekhar, T. & Zeidan, Dia, 2020. "Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    13. Silambarasan, Rathinavel & Baskonus, Haci Mehmet & Vijay Anand, R. & Dinakaran, M. & Balusamy, Balamurugan & Gao, Wei, 2021. "Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 566-602.
    14. Seadawy, Aly R. & Arshad, Muhammad & Lu, Dianchen, 2020. "The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    15. Wael W. Mohammed & Farah M. Al-Askar & Clemente Cesarano & Thongchai Botmart & M. El-Morshedy, 2022. "Wiener Process Effects on the Solutions of the Fractional (2 + 1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation," Mathematics, MDPI, vol. 10(12), pages 1-9, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:582:y:2021:i:c:s0378437121005288. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.