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1-Soliton solutions of the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain model with the beta time derivative

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Abstract

This paper analytically explores a (2 + 1)-dimensional nonlinear model with the beta time derivative describing the wave propagation in the Heisenberg ferromagnetic spin chain. Particularly, after allocating the beta time derivative to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (2D-HFSC) model, its 1-soliton solutions are formally derived through utilizing a group of systematic techniques such as the new Kudryashov and exponential methods. Some graphical representations in three-dimensional postures are considered to analyze the impact of the beta parameter on the dynamical behavior of the bright and dark solitons.

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Authors and Affiliations

  1. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    K. Hosseini

  2. Department of Mathematics, Jaypee Institute of Information Technology, Noida, U.P., India

    L. Kaur

  3. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

    M. Mirzazadeh

  4. Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

    H. M. Baskonus

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  1. K. Hosseini
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  2. L. Kaur
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  4. H. M. Baskonus
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Hosseini, K., Kaur, L., Mirzazadeh, M. et al. 1-Soliton solutions of the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain model with the beta time derivative. Opt Quant Electron 53, 125 (2021). https://doi.org/10.1007/s11082-021-02739-9

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