  We study the formation and dynamics of bright solitons in a
quasi-one-dimensional reduced mean-field Gross-Pitaevskii equation of a dipolar
Bose-Einstein condensate with repulsive short-range interactions. The study is
carried out using a variational approximation and a numerical solution. Plots
of chemical potential and root mean square (rms) size of solitons are obtained
for the quasi-one-dimensional model of three different dipolar condensates of
52Cr, 168Er and 164Dy atoms. The results achieved are in good agreement with
those produced by the full three-dimensional mean-field model of the
condensate. We also study the dynamics of the collision of a train of two
solitons in the quasi-one-dimensional model of every condensate above. At small
velocities (zero or close to zero) the dynamics is attractive for a phase
difference {\delta} = 0, the solitons coalesce and these oscillate forming a
bound soliton molecule. For a phase difference {\delta} = {\pi} the effect is
repulsive. At large velocities the collision is independent of the initial
phase difference {\delta}. This is quasi-elastic and the result is two
quasi-solitons.
