Parametrically driven localized magnetic excitations with spatial inhomogeneity

In this paper we study an inhomogeneous ferromagnet with uniaxial anisotropy and applied magnetic field via the magnetic field component of the propagating electromagnetic wave in the medium. It is observed that the magnetic excitations are governed by localized solutions and the corresponding electromagnetic wave is modulated in the form of soliton modes driven by the inhomogeneity. The localized solutions are obtained in an analytical way by employing a variational approach. The effect of different types of magnetic inhomogeneity is studied for three different types of ansätze. Interestingly, the regions of validity of each ansatz are slightly different, demonstrating that both may be interesting for understanding the whole system.