Localized waves in a parametrically driven magnetic nanowire

The pattern formation in a magnetic wire forced by a transversal uniform and oscillatory magnetic field is studied. This system is described in the continuous framework by the Landau-Lifshitz-Gilbert equation. We find numerically that, the spatio-temporal magnetization field exhibits a family of localized states that connect asymptotically a uniform oscillatory state with an extended wave. Close to parametrical resonance instability, an amended amplitude equation is derived, which allows us to understand and characterize these localized waves.