A prolongation structure is determined for the AKNS system of equations. Using an interpretation in terms of Cartan–Ehresmann connections, a generalization is then constructed which leads to an inverse scattering problem for the multicomponent nonlinear Schrodinger equation iqαt= (1/2) qαxx +qα(Σnβ=1‖qβ‖2) (α=1,...,n).
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HEDLEY C. MORRIS (1977) studied this question.
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