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• W3101227029 endingPage "2467" @default.
• W3101227029 startingPage "2441" @default.
• W3101227029 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-B{a}cklund transformation between two AKNSESCSs with different degrees of sources. The formula for N-times repeated generalized Darboux transformation is proposed. By reduction the generalized Darboux transformation with arbitrary functions in time $t$ for the Nonlinear Schr{o}dinger equation with self-consistent sources (NLSESCS) is obtained and enables us to find the dark soliton, bright soliton and positon solutions for NLS$^{+}$ESCS and NLS$^{-}$ESCS. The properties of these solution are analyzed." @default.
• W3101227029 created "2020-11-23" @default.
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• W3101227029 date "2005-03-03" @default.
• W3101227029 modified "2023-10-18" @default.
• W3101227029 title "The solutions of the NLS equations with self-consistent sources" @default.
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• W3101227029 doi "https://doi.org/10.1088/0305-4470/38/11/008" @default.
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