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

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.