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

Bakicierler G., Alfaqeih S., Misirli E.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.582, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 582
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.physa.2021.126255
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Heisenberg ferromagnetic spin chain equation, Modified extended tanh-function method, Conformable fractional derivative, Traveling wave solution, WAVE SOLUTIONS, SOLITON
  • Marmara Üniversitesi Adresli: Hayır

Özet

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. (C) 2021 Elsevier B.V. All rights reserved.