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Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions over Squared Solutions
[chapter]

2011
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Nonlinear Science and Complexity
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A special class of multicomponent NLS equations, generalizing the vector NLS and related to the BD.I-type symmetric are shown to be integrable through the inverse scattering method (ISM). The corresponding fundamental analytic solutions are constructing thus reducing the inverse scattering problem to a Riemann-Hilbert problem. We introduce the minimal sets of scattering data T which determines uniquely the scattering matrix and the potential Q of the Lax operator. The elements of T can be

doi:10.1007/978-90-481-9884-9_23
fatcat:c6m4sbjlivf7rellb2gus3skpi