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- W2094555209 abstract "The whole-line version of the Gelfand–Levitan–Marchenko (GLM) equation for a Dirac system is studied. A new derivation of the GLM equation is given, under weaker hypotheses than Frolov’s earlier treatment [Sov. Math. Dokl. 13, 1468 (1972)], and the complete inversion is carried out in some explicit cases in which a spectral gap is present. Previous calculations of this type are restricted either to a scalar potential or degenerate gap. Applications are discussed in connection with optical couplers and soliton equations." @default.
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- W2094555209 date "1991-11-01" @default.
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- W2094555209 title "Inverse scattering on the line for a Dirac system" @default.
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- W2094555209 doi "https://doi.org/10.1063/1.529046" @default.
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