Four-wave mixing Floquet topological solitons

We consider a topological Floquet insulator realized as honeycomb array of helical waveguides imprinted in weakly birefringent medium. The system accounts for four-wave mixing occurring at series resonances arising due to phase matching. Under these resonant conditions, the sustains stable linearly polarized and metastable elliptically two-component edge solitons. Coupled nonlinear equations describing evolution envelopes such solitons are derived.