  Building a multi-field theory with canonical and non-canonical contributions,
one studies the topological solitons of the O(3)-sigma model. We propose a
model constituted by the O(3)-sigma field, the cuscuton-like neutral scalar
field, and Maxwell's field. We investigate BPS properties considering a theory
without interaction. One performs this study by adopting the first-order
formalism in a model with contribution non-canonical. Thus, these contributions
will preserve the spontaneous symmetry breaking of the system. Concurrently, a
non-minimal coupling between the sigma and the Maxwell field is assumed. In
this scenario, interesting results arise, i.e., one notes that the solitons
have an internal structure and ring-like profile. Furthermore, one observes
that the ring-like configurations that emerge are directly related to the
contribution of the cuscuton-like term.
