  A class of the Benjamin-Bona-Mahony-Burgers (BBMB) equations with
time-dependent coefficients is investigated with the Lie symmetry point of
view. The set of admissible transformations of the class is described
exhaustively. The complete group classification is performed using the method
of mapping between classes. The derived Lie symmetries are used to reduce BBMB
equations to ordinary differential equations. Some exact solutions are
constructed.
