Shock Waves in a Ferromagnet

Nonlinear electromagnetic waves in a ferromagnet under an external magnetic field are investigated in the presence of dissipative effect by using a nonlinear perturbation method. In the lowest order of perturbation, it is found that the system of equations for the electromagnetic waves in a ferromagnet can the reduced to an integro-differential equation. It is shown that this equation admits steady state solutions representing either monotone or oscillatory shock waves according to the relative strength of the dissipation to the dispersion.