An optical waveguide amplifier based on Er-doped Garnet crystals is proposed, and steady-state transient amplification characteristics, studied numerically using time-dependent rate equaations are presented. The dynamics and spectral characteristics of the waveguid medium and optical waves play important role in the ultrashort pulse propagation. Experimentally determined spectroscopic characteristics are used in the dynamic response analysis. Understanding the dynamic characteristics of the integrated optic waveguide amplifiers is necessary when the input signal is modulated in various formats. Approximate numerical calculation have been carried out on the short pulse amplification.