Solitons in a Semi-Infinite Ferromagnet with the Easy-Plane Anisotropy

The Landau–Lifshitz model for a semi-infinite ferromagnet with the easy-plane anisotropy was considered. New analytical solutions to this model were found, which describe the interaction of solitons with the boundary of the ferromagnet. Additional conservation laws were obtained, which guarantee the stability of the solitons under their collision with the boundary of the sample. The changes of parameters of the solitons after the collision were calculated.