  Spatial division multiplexing utilizes the directionality of lights
propagating k-vector to separate it into distinct spatial directions. Here we
show that the anisotropy of orthogonal spatial Solitons propagating in a single
Graphene monolayer results in phase-based multiplexing. We use the self-
confinement properties of spatial Solitons to increase the usable density of
states (DOS) of this switching-system. Furthermore, we show that crossing two
orthogonal Solitons exhibit a low (0.035 dB) mutual disturbance from another
enabling independent k-vector switching. The efficient utilization of the DOS
and multiplexing in real-space enables data processing parallelism with
applications in optical networking and computing.
