Within the framework of Boltzmann transport equation with a
Bhatnagar-Gross-Krook (BGK) collisional kernel, we study the wake potential
induced by fast partons traveling through the high-temperature QCD plasma which
is anisotropic in momentum-space. We calculate the dielectric response function
of a collisional anisotropic quark-gluon plasma (AQGP) for small $\xi$
(anisotropic parameter) limit. Using this, the wake potential for various
combinations of the anisotropy parameter ($\xi$) and the collision rate ($\nu$)
is evaluated both for parallel and perpendicular directions of motion of the
fast parton. It is seen that the inclusion of the collision modifies the wake
potential and the amount as well as the nature of the potential depends on the
combinations of $\xi$ and $\nu$Comment: 11 pages, 4 figure