Abstract

We present a binary Darboux transformation for multicomponent NLS equations and their reduced integrable counterparts. The starting point is to apply two pairs of eigenfunctions and adjoint eigenfunctions, and the resulting binary Darboux transformation can be decomposed into an N-fold Darboux transformation. By taking the zero potential as a seed solution, soliton solutions are generated from the binary Darboux transformation for multicomponent NLS equations and their reductions.

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