  We show that topological waves at the interface between two magnetic domains
in a graphene device are possible. First, we consider the case of a linear
relation between the applied gate voltage and local density in the channel and,
secondly, we investigate the effect of non-local Coulomb interactions. We
obtain two distinct edge modes for each interaction type: a Yanai mode with
rotational flow and dispersion relation that extends to infinite wave-number,
and a Kelvin mode with purely longitudinal flow and bound dispersion relation.
The scattering matrix concept is applied to verify the infinite frequency
regime of the spectrum, and the bulk-edge correspondence principle is satisfied
if one takes into account the Kelvin modes that merge with an imaginary cut of
the bulk band.
