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The linear and nonlinear pulse propagations in lifetime-broadened three-statemedia with spontaneously generated coherence (SGC) are investigatedtheoretically. Three generic systems of V-, $\Lambda$-, and $\Xi$-type levelconfigurations are considered and compared. It is shown that in linearpropagation regime the SGC in the V-type system can result in a significantchange of dispersion and absorption and may be used to completely eliminate theabsorption and largely reduce the group velocity of a probe field. However, theSGC has no effect on the dispersion and absorption of the $\Lambda$- and$\Xi$-type systems. In nonlinear propagation regime, the SGC displays differentinfluences on Kerr nonlinearity for different systems. Specifically, it canenhance the Kerr nonlinearity of the V-type system whereas weaken the Kerrnonlinearity of the $\Lambda$-type system. Using the SGC, stable opticalsolitons with ultraslow propagating velocity and very low pump power can beproduced in the V-type system by exploiting only one laser field in the system.

Linear and Nonlinear Pulse Propagations in Lifetime-Broadened Atomic Media with Spontaneously Generated Coherence