The nonlinear Schrödinger equation is used to study the propagation of small-amplitude nonlinear magnetic pulses (solitons) in an actively dissipative medium (easy-axis ferromagnet) in which an external, circularly polarized, rf magnetic field is applied in spatially localized regions. The interaction of solitons with nonlinearly excited regions of the medium which are coupled with rf pumping centers is studied in the adiabatic approximation. The change of the parameters of solitons during such an interaction is calculated and the possibility of amplification of soliton pulses is examined.