Exact solutions to the (2 + 1)-Dimensional Heisenberg ferromagnetic spin chain equation by using modified simple equation and improve F-expansion methods

Md Habibul Bashar; S.M. Rayhanul Islam

Physics Open (Dec 2020)

Exact solutions to the (2 + 1)-Dimensional Heisenberg ferromagnetic spin chain equation by using modified simple equation and improve F-expansion methods

Md Habibul Bashar,
S.M. Rayhanul Islam

Affiliations

Md Habibul Bashar: Department of Mathematics, European University of Bangladesh, Gabtali, Dhaka, 1216, Bangladesh
S.M. Rayhanul Islam: Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600, Bangladesh; School of Civil Engineering, Central South University, Changsha, Hunan, China; Corresponding author. Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh.

Journal volume & issue: Vol. 5
p. 100027

Abstract

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In this article, we implement the modified simple equation (MSE) and improve F-expansion method to find the exact solutions of the (2 + 1)-dimensional Heisenberg Ferromagnetic Spin Chain (HFSC) equation and construct traveling wave solutions in terms of hyperbolic functions, trigonometric functions and rational functions with arbitrary parameters. Some 2D and 3D graphics of analytical solutions obtained are presented in this paper. The methods are capable and highly effective mathematical tool for extracting exact traveling wave solutions to nonlinear evolution equations (NLEEs) arising in mathematical physics and engineering fields.

Published in Physics Open

ISSN: 2666-0326 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: https://www.journals.elsevier.com/physics-open

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