  We discuss the characteristics of collective modes induced by relativistic
jets in an anisotropic quark-gluon plasma(AQGP). Assuming a tsunami-like
initial jet distribution, it is found that the dispersion relations for both
the stable and unstable modes are modified substantially due to the passage of
jet compared to the case when there is no jet. It has also been shown that the
growth rate of instability first increases compared to the no jet case and then
completely turned into damping except the case when the jet velocity is
perpendicular to the wave vector in which case the instability always grows.
Thus, the introduction of the jet in the AQGP, in general, might to faster
isotropization for the special case when the wave vector is parallel to the
anisotropy axis.
