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

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.