Soliton and electromagnetic wave propagation in a ferromagnetic medium

We find that when an electromagnetic wave propagates in an isotropic ferromagnetic medium, an effective field, equivalent to the anisotropic and constant external field, is created. The magnetic induction lies in a plane normal to the direction of propagation. Also, the excitation of magnetization of the ferromagnetic medium is restricted to the normal plane at the lowest order of perturbation, and goes out of plane at higher orders. The excitations of the magnetization and magnetic induction, and hence also the magnetic field, are governed by soliton modes.