  We show the existence of Bogomol'nyi-Prasad-Sommerfield (BPS) magnetic
monopoles in a generalized Yang-Mills-Higgs model which is controlled by two
positive functions. This effective model, in principle, would describe the
dynamics of the nonabelian fields in a chromoelectric media. We check the
consistency of our generalized construction by analyzing an explicit case ruled
by a real parameter. We also use the well-known spherically symmetric Ansatz to
attain the corresponding self-dual equations describing the topological
solutions. The overall conclusion is that the new solutions behave around the
canonical one, with smaller or greater characteristic length.
