  Graphene kinks are topological states of buckled graphene membranes. We show
that when a moving kink encounters a constriction, there are three general
classes of behavior: reflection, trapping, and transmission. Overall,
constriction is characterized by an attractive potential. In the case of a
simple symmetric constriction, the kink potential energy has a relatively deep
minimum surrounded by energy barriers. However, the potential energy alone does
not fully define the class of behavior: the effect of a resonant reflection was
observed in our simulations. Moreover, we demonstrate that asymmetric
constrictions can transform kinks from one type into another. MD simulation
results are compared with predictions of the classical $\phi^4$ model.
