  In this paper, we investigate multifield models in which the two-field BNRT
model is coupled to a third field through mediator functions in the Lagrangian
density. To conduct the investigation, we obtain the equations of motion and
develop a first-order formalism based on energy minimization. Two possibilities
are considered: i) the third field acting in the mediator functions to modify
the BNRT solutions; ii) the BNRT fields feeding the mediator function to
produce effects in the kink solution of the third field. In the case i), the
results show that the solutions may be related to the standard ones with the
coordinate redefined in terms of the mediator functions if they are equal. This
allows to induce effects similar to geometric constrictions in the core, or to
compactify the tail of the BNRT solutions. If the mediator functions differ one
from another, we show that the effects are distinct, with the compactification
of just one of the two-field solutions. In the case ii), the orbit parameter of
the model plays an important role, modifying the mediator function that induces
changes in the profile of the kink associated to the third field.
