Two routes to non-Hermitian solitons
Peer-Reviewed Publication
Updates every hour. Last Updated: 25-Oct-2026 14:16 ET (25-Oct-2026 18:16 GMT/UTC)
Solitons are prototypical localized states in nonlinear physics. Their formation usually relies on a balance between wave-packet spreading and nonlinear self-focusing. In conventional Hermitian lattices, the threshold for soliton formation is often governed by dimensionality and boundary geometry. For instance, in two dimensions, corners are more favorable for soliton formation than edges, and edges are more favorable than the bulk. In non-Hermitian systems with the non-Hermitian skin effect, however, linear eigenmodes can become anomalously concentrated near boundaries or other selected regions, reshaping this familiar picture. Then, the open question is: How does skin-mode localization affect soliton formation? What role does band nonreciprocity play? Moreover, do these two non-Hermitian mechanisms act in the same way or in opposite ways?
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