  We investigate the classical dynamics of the massive SU(2) Yang-Mills field
in the framework of multiple scale perturbation theory. We show analytically
that there exists a subset of solutions having the form of a kink soliton,
modulated by a plane wave, in a linear subspace transverse to the direction of
free propagation. Subsequently, we explore how these solutions affect the
dynamics of a Dirac field possessing an SU(2) charge. We find that this class
of Yang-Mills configurations, when regarded as an external field, leads to the
localization of the fermion along a line in the transverse space. Our analysis
reveals a mechanism for trapping SU(2) charged fermions in the presence of an
external Yang-Mills field indicating the non-abelian analogue of Landau
localization in electrodynamics.
