Abstract
Abstract Two types of new integrable decompositions of the Kaup–Newell equation are presented. The first one comes from the nonstandard binary nonlinearization of the well-known 2 × 2 Kaup–Newell spectral problems and the other comes from the standard binary nonlinearization of new 3 × 3 Kaup–Newell spectral problems. The relationship between them is revealed.
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