  The interaction behavior of solitons are defining characteristics of these
nonlinear, coherent structures. Due to recent experimental observations, thin
ferromagnetic films offer a promising medium in which to study the scattering
properties of two-dimensional magnetic droplet solitons, particle-like,
precessing dipoles. Here, a rich set of two-droplet interaction behaviors are
classified through micromagnetic simulations. Repulsive and attractive
interaction dynamics are generically determined by the relative phase and
speeds of the two droplets and can be classified into four types: (1) merger
into a breather bound state, (2) counterpropagation trapped along the axis of
symmetry, (3) reflection, and (4) violent droplet annihilation into spin wave
radiation and a breather. Utilizing a nonlinear method of images, it is
demonstrated that these dynamics describe repulsive/attractive scattering of a
single droplet off of a magnetic boundary with pinned/free spin boundary
conditions, respectively. These results explain the mechanism by which
propagating and stationary droplets can be stabilized in a confined
ferromagnet.
