The dispersion-nonlinearity-managed of different types of nonlinear localized waves was studied in an inhomogeneous erbium-doped fiber system, which is described by the coupled generalized inhomogeneous nonlinear Schdinger-Maxwell-Bloch equation. A united nonautonomous solution was obtained by using similarity transformation from an inhomogeneous nonlinear Schdinger -Maxwell-Bloch equation. The solution includes lots of the structures of nonlinear local wave in this system. The dynamics properties of breathers and multi-peaks solitons are analyzed from two perspectives, including periodically distributed amplification and phase-shifting nonlinear localized waves. The results show that the novelty structure of nonlinear local wave does exist in an inhomogeneous erbium-doped fiber system and appears diversity under the management of dispersion and nonlinearity, and has a guiding significance in practice theoretically for optical fiber communications.