On the propagation of solitons in ferrites: The inverse scattering approach

We pay particular attention to a nonlinear evolution system derived by Kraenkel et al. (2000) from Maxwell's equations and the Landau-Lifshitz-Gilbert equation, describing the propagation of ultra-short wave in ferromagnetic materials. Since the associated Lax-pairs of such a system has been provided standing for a proof of its integrability, we follow the inverse scattering transform method and particularly the Wadati-Konno-Ichikawa scheme to unveil the soliton solutions to this system and study their scattering properties.