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Inverse scattering transform for systems with rational spectral dependence. (English) Zbl 0816.35104
Summary: We characterize a class of first-order systems for which the inverse scattering problems can be formulated as matrix Riemann-Hilbert problems. For this class complete direct and inverse scattering results are obtained.

MSC:
35Q15 Riemann-Hilbert problems in context of PDEs
35P25 Scattering theory for PDEs
35R30 Inverse problems for PDEs
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