Soliton Dynamics of Magnetization Driven by a Magnetic Field in Uniaxial Anisotropic Ferromagnet

We study the nonlinear magnetic excitation in an anisotropic ferromagnet with a magnetic field. In the long wave approximation, the Landau-Lifschitz equation with easy axis anisotropy is transformed into the nonlinear Schrödinger type. By means of a straightforward Darboux transformation we obtain the oneand two-soliton solutions of uniaxial anisotropic ferromagnet. From a careful analysis for the asymptotic behavior of twosoliton solution we find that the collision between two magnetic solitons is elastic. This will be very helpful to understand the significant nature of the interactions between solitons in the future.