The propagation of shape changing soliton in a nonuniform nonlocal media

Abstract

Magnetization dynamics in uniformly magnetized ferromagnetic media is studied by using Landau—Lifshitz—Gilbert equation. The nonlinear evolution equation is integrable with site-dependent and biquadratic exchange interaction by means of Landau—Lifshitz (LL) equation which is well understood. In the present work, we construct the exact solitary solutions of the nonlinear evolution equation, particularly, we employ the modified extended tangent hyperbolic function method. We show the shape changing property of solitons for the given integrable system in the presence of damping as well as inhomogeneities.