Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrodinger equations

摘要

The paper aims to discuss nonlocal reverse-space multicomponent nonlinear Schrodinger equations and their inverse scattering transforms. The inverse scattering problems are analyzed by means of Riemann-Hilbert problems, and Gelfand-Levitan-Marchenko-type integral equations for generalized matrix Jost solutions are determined by the Sokhotski-Plemelj formula. Soliton solutions are generated from the reflectionless transforms associated with zeros of the Riemann-Hilbert problems.

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