Dynamics of damped single valued magnetic wave in inhomogeneous circularly polarized ferrites

Abstract

In this short note, we focus our attention on the dynamics of magnetic wave in polarized ferrite. Indeed, we pay particular attention to the new nonlinear system derived by Kamdem and coauthors in the recent paper (Kamdem et al., 2021) describing the propagation of polarized wave guide excitation in microwave ferrites, subjected to damping and inhomogeneous exchange effects simultaneously. We provide from the well-known inverse scattering transform method the soliton solution of the new system free of damping and inhomogeneous exchange effects, and using this solution as initial condition, we verify the consistency of its analytical expression via some numerical simulations. We use this solution to study numerically first of all the effect of damping and the effect of inhomogeneity separately before studying the simultaneous effects on the moving wave. As expected, damping acts on the wave by slowing down its amplitude while its impact on the width is negligible. The inhomogeneous exchange effect acts on the amplitude of the wave while creating a shift.