Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models

Aly R. Seadawy, Asghar Ali, Saad Althobaiti and Samy Sayed

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: Manuscript purpose is to find analytical solutions of the (2 + 1)-dimensional Heisenberg Ferromagnetic Spin Chain and Vakhnenko dynamical equations by using the generalized direct algebraic and simple equation analytical methods. Numerous exact traveling results are obtained in exponential, trigonometric and hyperbolic wave solutions. To understand the physical behavior of the models, the two and three dimensions graphs along with contour are plotted after assigning the particular values to the parameters. Obtained structures provide a rich platform for solving nonlinear wave problems with many applications.

Keywords: Heisenberg ferromagnetic spin chain equation; Vakhnenko equation; Generalized direct algebraic method; Exact and traveling wave solutions (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077920310201

DOI: 10.1016/j.chaos.2020.110629

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