  We investigate the behavior of light pulse propagation in a 4-level double
Lambda atomic system under condition of electromagnetically induced
transparency. The Fano type interference effect and spectral hole burning
appears in the the dynamics of the absorption-dispersion spectra caused by the
joint nonlinear coherence Kerr effect and Doppler broadening. The coherent Kerr
effect exhibits an enhancement (reduction) in superluminal (subluminal) in
negative (in positive) group index while the Doppler broadening generates
multiple hole burning in the Autler-Townes like spectra of this system. The
hole burning in addition with coherent Kerr effect on the spectral profile
influences the dynamics of subluminal and superluminal of the probe pulse
through the medium. The characteristics of superluminality and subluminality
modified by considering cold-Kerr-free medium and hot-Kerr-dependent mediums.
The light pulse delays and advances in different regions of dispersion medium
with the Doppler broadening and coherent Kerr effect. Consequently, the pulse
delays by $49\mu s$, while advance by $-91\mu s$, for a same set of parameters
[note: a revised version is under preparation
