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We investigate dissipative nonlinear dynamics in graphene-based activemetamaterials composed of randomly dispersed graphene nano-flakes embeddedwithin an externally pumped gain medium. We observe that graphene saturablenonlinearity produces a sub-critical bifurcation of nonlinear modes, enablingself-organization of the emitted radiation into several dissipative solitonstructures with distinct topological charges. We systematically investigate theexistence domains of such nonlinear waves and their spatio-temporal dynamics,finding that soliton vortices are unstable, thus enabling self-organizationinto single dissipative structures with vanishing topological charge,independently of the shape of the graphene nano-flakes. Our results shed lighton self-organization of coherent radiation structures in disordered systems andare relevant for future cavity-free lasers and amplifier designs.

Spatial dissipative solitons in graphene-based active random metamaterials