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

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 mathematica...

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Bibliographic Details
Published in:Physica A Vol. 582; p. 126255
Main Authors: Bakıcıerler, Gizel, Alfaqeih, Suliman, Mısırlı, Emine
Format: Journal Article
Language:English
Published: Elsevier B.V 15.11.2021
Subjects:
Conformable fractional derivative
Heisenberg ferromagnetic spin chain equation
Modified extended tanh-function method
Traveling wave solution
Conformable fractional derivative
35R11
Heisenberg ferromagnetic spin chain equation
Modified extended tanh-function method
35Q60
Traveling wave solution
35C07
ISSN:0378-4371, 1873-2119
Online Access:Get full text
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Summary: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. •The time-fractional (2+1)-dimensional non-linear HFSC equation have been studied.•The modified extended tanh-function method have been used to find analytic solutions.•New solutions have been investigated according to the Riccati differential equation.•The validity and correctness of all solutions have been checked.•The 2D, 3D and contour graphs of solutions have been drawn via Mathematica software.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2021.126255