Factorization of the scattering matrix and the location of the eigenvalues of the Manakov-Zakharov-Shabat system |
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| Authors: | J Adrián Espínola-Rocha |
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| Institution: | Department of Mathematics and Statistics, University of Massachusetts, 710 N. Pleasant Street 16th. Fl, Amherst, MA 01003, USA |
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| Abstract: | We show the scattering matrix associated to the Manakov-Zakharov-Shabat (MZS) system can be factorized as the product of two scattering matrices associated to the Zakharov-Shabat (ZS) system of the Nonlinear Schrödinger (NLS) equation, whenever the initial conditions of the Manakov system have disjoint support. Moreover, if these initial conditions are assumed to be single-lobe, the eigenvalues of the MZS system are purely imaginary. |
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| Keywords: | 02 30 Ik |
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