Magnetic Inhomogeneities in 3D Ferromagnetic spin system

Abstract

We investigate the magnetization dynamics of three dimensional inhomogeneous ferromagnetic spin system by proposing a model Hamiltonian incorporating bilinear interactions with site dependent inhomogeneity. The dynamics is represented by a (3+1) dimensional Perturbed Nonlinear Schrödinger Equation (PNLSE). The effect of inhomogeneity is understood by carrying out Sine-Cosine function analysis. Here six types of magnetic inhomogeneities have been revealed. The range of values of the parameters which determine the possibility of existence of each of these inhomogeneities have been determined. An interesting dynamical scenario where the overtaking nature of solitons is observed.