Interaction of solitary spin waves

We present the results of a computer experiment devoted to the problem of the interaction of two magnetic solitary spin waves moving in the direction perpendicular to the axis of easy magnetization in an uniaxial ferromagnet. Such waves being particular solutions of the Landau-Lifshitz equations move like a domain wall under the influence of an external magnetic field. Our computer experiment shows that the two solitary spin waves during their interaction, behave as two solitons and thus the concerned Landau-Lifshitz equations allows N-soliton solutions.