Magnetization reversal through flipping solitons under the localized inhomogeneity

We study the nonlinear dynamics of a site-dependent Heisenberg ferromagnetic spin chain with Gilbert damping in the continuum limit and its associated dynamics which is governed by an inhomogeneous generalized higher order nonlinear Schrodinger equation. The effect of inhomogeneity was understood by carrying out a multiple perturbation analysis and the coupled evolution equations for the velocity and amplitude of the soliton were solved using the Jacobi elliptic function method. The evolution of the amplitude and velocity of the soliton leads to magnetization reversal via flipping of solitons in the ferromagnetic medium. Finally, we have also constructed the perturbed soliton solutions.