Dynamical Structure of the Soliton Solution of M-Fractional 2+1-Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp−ϕξ-Expansion Schemes in Mathematical Physics

Sakhawat Hossain, M. M. Rahman, Md. Habibul Bashar, Shimul Biswas and Md Mamunur Roshid

Journal of Applied Mathematics, 2025, vol. 2025, 1-9

Abstract: In this piece of work, we give the particular traveling wave answers for the truncated time M-fractional 2+1-Heisenberg ferromagnetic spin chain model that is researched by executing the advanced exp −φξ expansion technique. In order to reconnoiter such dynamics, the advanced exp−φξ expansion method integrates the truncated time M-fractional 2+1-Heisenberg ferromagnetic spin chain to achieve creative solitonic and traveling envelopes. Consequently, the suggested method has been used to find trigonometric and hyperbolic solutions. 3D and density charts show the dynamical properties of the derived solutions for any selected set of the permitted parameters. By defining the particular advantages of the summarized parameters through the representation of figures and by interpreting the physical events, we have constructed appropriate soliton arrangements and addressed the physical significance of the obtained arrangements. All solitons are checked through the relating conditions with the assistance of Maple bundle program. The advanced exp −φξ expansion technique is strong treatment for looking for central nonlinear waves that further develop assortment of dynamical frameworks which emerges in arranging fields.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:5535543

DOI: 10.1155/jama/5535543

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