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A salient feature of solid-state topological materials in two dimensions isthe presence of conducting electronic edge states that are insensitive toscattering by disorder. Such unidirectional edge states have been explored inmany experimental settings beyond solid-state electronic systems, including inphotonic devices, mechanical and acoustic structures, and others. It is ofgreat interest to understand how topological states behave in the presence ofinter-particle interactions and nonlinearity. Here we experimentallydemonstrate unidirectional soliton-like nonlinear states on the edge ofphotonic topological insulators consisting of laser-written waveguides. As aresult of the optical Kerr nonlinearity of the ambient glass, the soliton-likewavepacket forms a non-diffracting coherent structure that slowly radiatespower because of the intrinsic gaplessness of the system. The realization ofsoliton-like edge states paves the way to an understanding of topologicalphenomena in nonlinear systems and those with inter-particle interactions.

Observation of unidirectional soliton-like edge states in nonlinear Floquet topological insulators