  In this paper, we propose that both the quasi-transverse-magnetic (TM) and
quasi-transverseelectric (TE) Airy plasmons can be supported in graphene-based
waveguides. The solution of Airy plasmons is calculated analytically and the
existence of Airy plasmons is studied under the paraxial approximation. Due to
the tunability of the chemical potential of graphene, the self-accelerating
behavior of quasi-TM Airy plasmons can be steered effectively, especially in
multilayer graphene based waveguides. Besides the metals, graphene provides an
additional platform to investigate the propagation of Airy plasmons and to
design various plasmonic devices.
