Inverse scattering on the line for a Dirac system

dc.contributorVirginia Techen
dc.contributor.authorHinton, D. B.en
dc.contributor.authorJordan, A. K.en
dc.contributor.authorKlaus, Martinen
dc.contributor.authorShaw, John Kennethen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-01-25en
dc.date.accessioned2014-01-23T13:49:07Zen
dc.date.available2014-01-23T13:49:07Zen
dc.date.issued1991-11en
dc.description.abstractThe 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. Dok1. 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.en
dc.identifier.citationHinton, DB; Jordan, AK; Klaus, M; et al., "Inverse scattering on the line for a Dirac system," J. Math. Phys. 32, 3015 (1991); http://dx.doi.org/10.1063/1.529046en
dc.identifier.doihttps://doi.org/10.1063/1.529046en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/25119en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/32/11/10.1063/1.529046en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleInverse scattering on the line for a Dirac systemen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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