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In this paper a detailed investigation of Four Wave Mixing in Silicon-on-Insulator optical waveguides is carried out under pulsed regime. A number of nonlinear effects, such as two photon absorption, free carrier absorption, self and cross phase modulation are considered in the analysis, as well as walk-off, group velocity dispersion and third order dispersion. The interesting influence of pulsewidth on the space-time evolution of both signal and idler pulses is presented. Optimized phase matching conditions are found to achieve very efficient wavelength conversion in parametric amplification, considering both degenerate and non degenerate processes. Finally, waveguide parameters are optimized for rib and membrane SOI waveguides.