  The generalized Benjamin-Bona-Mahony equation (gBBM) is a model for nonlinear
dispersive waves which, in the long-wave limit, is approximately equivalent to
the generalized Korteweg-de Vries equation (gKdV). While the long-time
behaviour of small solutions to gKdV is well-understood, the corresponding
theory for gBBM has progressed little since the 1990s. Using a space-time
resonance approach, I establish linear dispersive decay and scattering for
small solutions to the quartic-nonlinear gBBM. To my knowledge, this result
provides the first global-in-time pointwise estimates on small solutions to
gBBM with a nonlinear power less than or equal to five. Owing to nonzero
inflection points in the linearized gBBM dispersion relation, there exist
isolated space-time resonances without null structure, but in the course of the
proof I show these resonances do not obstruct scattering.
