Nonlinearity and topology are both linked to symmetries, but what happens when the two are combined is not a trivial question. In a nonlinear photonic higher-order topological insulator, solitons localize on the corners together with the topological modes.
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Salerno, G. Topology puts solitons in the corner. Nat. Phys. 17, 980–981 (2021). https://doi.org/10.1038/s41567-021-01282-4
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DOI: https://doi.org/10.1038/s41567-021-01282-4