We investigate the behavior of the light pulse in $\ensuremath{\Lambda}$-type cold-atom gases with two counter-propagating control lights with equal strength by directly simulating the dynamic equations and exploring the dispersion relation. Our analysis shows that, depending on the length
L0 of the stored wave packet and the decay rate $\ensuremath{\gamma}$ of ground-spin coherence, the recreated light can behave differently. For long
L0 and/or large $\ensuremath{\gamma}$, a stationary light pulse is produced, while two propagating light pulses appear for short
L0 and/or small $\ensuremath{\gamma}$. In the $\ensuremath{\gamma}\ensuremath{\rightarrow}0$ limit, the light always splits into two propagating pulses for a sufficiently long time. This scenario agrees with a recent experiment [Y.-W. Lin et al., Phys. Rev. Lett. 102, 213601 (2009)] where two propagating light pulses are generated in laser-cooled cold-atom ensembles.