  In this work we study propagation dynamics of the two counter-propagating
lasers, the continuous-wave (CW) laser and the pulse of another laser, when
both lasers are tuned to the $F_{g}=2 \rightarrow F_{e}=1$ transition in
$^{87}$Rb, and therefore can develop Hanle electromagnetically induced
transparency (EIT) in Rb vapor. We calculate transmission of both lasers as a
function of applied magnetic field, and investigate how the propagation of the
pulse affects the transmission of the CW laser. And vice versa, we have found
conditions when the Gaussian pulse can either pass unchanged, or be
significantly absorbed in the vacuum Rb cell. This configuration is therefore
suitable for the convenient control of the pulse propagation and the system is
of interest for optically switching of the laser pulses. In terms of the
corresponding shapes of the coherent Hanle resonances, this is equivalent to
turning the coherent resonance from Hanle EIT into electromagnetically induced
absorption (EIA) peak. There is the range of intensities of both CW laser and
the laser pulse when strong drives of atomic coherences allow two lasers to
interact with each other through atomic coherence and can simultaneously
reverse signs of Hanle resonances of both.
