  We study a model with a real scalar Higgs field and a scalar triplet field
that allows existence of a topological defect -- a domain wall. The wall breaks
the global $O(3)$ symmetry of the model, which gives rise to non-Abelian
orientational degrees of freedom. We found an exact analytic solution that
describes a domain wall with a localized configuration of the triplet field on
it. This solution enables one to calculate contributions to the action from the
orientational and translational degrees of freedom of the triplet field. We
also study the linear stability of the domain wall with the triplet field
switched off. We obtain that degrees of freedom localized on the wall can
appear or do not appear depending on the parameters of the model.
