  We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation
for bi-axial ferromagnets. We put the focus on the cubic Schr{\"o}dinger
equation, which is known to describe the dynamics in a regime of strong
easy-axis anisotropy. In any dimension, we rigorously prove this claim for
solutions with sufficient regularity. In this regime, we additionally classify
the one-dimensional solitons of the Landau-Lifshitz equation and quantify their
convergence towards the solitons of the one-dimensional cubic Schr{\"o}dinger
equation.
