Abstract
A generalized matrix Darboux transformation (MDT) is constructed for the HSS-DNLSEs. Using the MDT, exact expressions of multiple solutions are constructed in the form of quasideterminants formula. By using particular solutions to the associated Lax pair, explicit expressions for one- and two-soliton solutions for different HSS-DNLSEs are computed. For each HSS-DNLSE we obtain constant, periodic and soliton solutions.
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