Abstract
Nonlinearizations of Darboux transformations of Kaup-Newell equation are investigated.Based on the assumption that the maps obtained by nonlinearizing of Darboux transformations of Kaup-Newell equationare just the Backlund transformations of the restricted Kaup-Newell flows, constraints betweenthe potentials in the Darboux matrices and the eigenfunctions can be simply established.Nonlinearizations of four fundamental Darboux transformations are carried out andfour integrable symplectic maps which share the same set of invariants are obtained.
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