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    • Keywords


      Soliton solutions; (2+1)-dimensional Heisenberg ferromagnetic spin chain equation; fractional partial differential equation; the extended (G'/G2)-expansion method.

    • Abstract


      In the given research, our main goal is to explore newsoliton solutions in (2+1)-dimensional Heisenberg ferromagnetic spin chain (HFSC) equation. This was achieved via the extended (G'/G2)-expansion method. For this, we first analyse the given (2 + 1)-dimensional HFSC system of a partial differential equation (PDE) that is obtained by separating the equation into real and imaginary parts. The solution of our equation is determined as rapidly convergent sequences effectively computed by using Mathematica software. Furthermore, a special class of nonlinear wave solutions like periodic, straight, decreasing, dark-singular soliton and dark bright singular soliton were obtained in Heisenberg ferromagnetic dynamics. The amplitude of the soliton is determined by giving different values of parameters. With a suitable choice of parameters, 3D and 2D graphical illustrations are reported. The methodology applied is effective for obtaining exact solutions for various fractional partial differential equations in complex medium. The numerical module of the results obtained is studied, with fascinating figures showing the physical significance of the solutions.

    • Author Affiliations



      1. Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
      2. Department of Computer Engineering, Biruni University, Istanbul, Turkey
      3. Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey
      4. Department of Medical Research, ChinaMedical University Hospital, ChinaMedical University, Taichung, Taiwan
      5. Department of Mathematics, Namal University, Talagang Road, Mianwali 42250, Pakistan
      6. Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan
    • Dates

  • Pramana – Journal of Physics | News

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