Abstract
Abstract For the multicomponent nonlinear Schrodinger equation an integro-differential operator is constructed which describes a hierarchy of symplectic forms. The quantum inverse problem method leads to a generalized Bethe ansatz. The quantum problem is studied on an interval with periodic boundary conditions. We obtain transcendental equations for the momenta and pseudomomenta which determine the eigenfunctions. We also construct the corresponding creation operators and generating functional for the higher integrals of motion.
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