2 Binary Darboux transformations for the AKNS equation with self-consistent sources

Abstract

We construct the generalized Darboux transformation with arbitrary functions in time t for the AKNS equation with self-consistent sources (AKNSESCS) which, in contrast with the Darboux transformation for the AKNS equation, provides a non-auto-Bäcklund transformation between two AKNSESCSs with different degrees of sources. The formula for N-times repeated… (More)

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