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

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  • 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
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    References listed on IDEAS

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    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. 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).
    3. 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).
    4. 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).
    5. 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).
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