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Nonautonomous complex wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with variable coefficients

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Abstract

This paper studies the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with variable coefficients (2D-VcHFSCE), which describes the Heisenberg ferromagnetic spin chains’s nonlinear spin dynamics with bilinear and anisotropic interactions in the semiclassical limit. Nonautonomous complex wave solutions are obtained such as similarity, bright and dark soliton solutions. Furthermore, analytic solutions are also presented based on the \(G'/G\)-expansion method. The propagation properties of the obtained solutions are shown by some 3D- and contour plots.

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Acknowledgements

The authors would like to express sincerely thanks to the referees and editors for their useful comments and discussions.

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  1. General Education and International Colleges, Chongqing College of Electronic Engineering, Chongqing, 401331, China

    Li-Juan Peng

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Project supported by the Research on the Current Situation and Countermeasures of the Construction of Rural and Urban Vocational Teaching Staff (Grant No 2018-GX-383).

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Peng, LJ. Nonautonomous complex wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with variable coefficients. Opt Quant Electron 51, 168 (2019). https://doi.org/10.1007/s11082-019-1883-z

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