Magnetic field diffusion into conducting nonlinear magnetic media

We study the conditions for a wave-like solution in the context of an electromagnetic field diffusing into nonlinear magnetic conducting media. In the usual – relation, the differential magnetic permeability has only positive values. Through an analytical treatment, we show that it is possible to find an attenuationless field behavior inside media with an appropriate induction ( ) and magnetic field ( ) relation, under the assumption that the differential magnetic permeability can also assume negative values. The wave-like solution leads to unusual electromagnetic behavior and invites further investigation into practical applications.