  The properties of surface plasmons localized at the interface between
graphene and kerr-type nonlinear medium in three dimensions are investigated.
Compared with surface plasmons at the surface of metal, with the inevitable
nonlinear refractive effect, the confinement of plasmon can be improved to
three times than graphene plasmons without nonlinear contribution, but also
with almost the same relative propagation length. Moreover, the dispersion
relation and propation distance of graphene plasmons can be easily controlled
by changing the fermi energy, temperature and relaxation time of graphene. Our
results suggest a simple but useful potential application for precise nonlinear
material sensor using graphene plasmons.
