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New dispersive optical solitons for the (2+1)-dimensional evolution equation in spin dynamics

机译：New dispersive optical solitons for the (2+1)-dimensional evolution equation in spin dynamics

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摘要

In this paper, the investigated new optical soliton solutions are for the (2 + 1)-dimensional evolution equation which has a potential application in spin dynamics. The new exact solutions of the governing evolution equation namely (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation (HFSCE) are achieved by transforming it into the ordinary differential equation and then applying the generalized Kudryashov method which leads to varieties of solutions of hyperbolic, trigonometric, rational types. The resulting solutions show wave patterns of different forms in various conditions including kink, singularkink, anti-kink and anti-peakon soliton solutions. Furthermore, the characteristics of the obtained wave patterns are depicted and illustrated by graphical representation. Moreover, the dynamics ensured the productivity, efficacy and reliability of the proposed method. Additionally, from the derived solutions the molecular structures, other properties of spin dynamics as well as the properties of optical fibers can be improved by taking necessary approximations to the parameters for a better result.

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