In the present work we study the soliton–antisoliton interaction in an anisotropic easy-plane
magnetic wire forced by a transverse uniform and oscillatory magnetic field. This system is
described in the continuous framework by the Landau–Lifshitz–Gilbert equation. We find
numerically that the spatio-temporal magnetization field exhibits both annihilative and
repulsive soliton–antisoliton interactions. We also describe this system with the aim of the
associated Parametrically Driven and Damped Nonlinear Schrödinger amplitude equation …