The displacement of a soliton after one nonlinear pumping cycle is claimed to equal the non-Abelian Chern number of the braiding nonlinear bands divided by the number of braiding bands.
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Topological Invariants in Nonlinear Thouless Pumping of Solitons
The displacement of a soliton after one nonlinear pumping cycle is claimed to equal the non-Abelian Chern number of the braiding nonlinear bands divided by the number of braiding bands.