  In general we can say that the thermal width of quarkonia corresponds to
imaginary part of its potential. Gravity dual of theories give explicit form of
potential as $V_{Q\bar{Q}}$ . Since there is an explicit formula for $Im
V_{Q\bar{Q}}$ one can consider different gravity duals and study the results of
contribution of various parameters. Variable gravity duals of moving pair in
plasma have different results for potential. Our paper shows that deformation
parameter c in warp factor leads to new results that we present them for
arbitrary angles of the pair with respect to its velocity. We compare our
results with the case that no deformation parameter is in metric background. We
will see that the thermal width of the pair increases with increasing
deformation parameter. Also, for nonzero values of deformation parameter the
pair feels moving plasma in all distances. In addition our results indicate
that contribution of deformation parameter leads to larger dissociation length
for the moving pair reverse to the effect of the pairs velocity in the plasma.
