Inverse scattering on the line for a Dirac system
dc.contributor | Virginia Tech | en |
dc.contributor.author | Hinton, D. B. | en |
dc.contributor.author | Jordan, A. K. | en |
dc.contributor.author | Klaus, Martin | en |
dc.contributor.author | Shaw, John Kenneth | en |
dc.contributor.department | Mathematics | en |
dc.date.accessed | 2014-01-25 | en |
dc.date.accessioned | 2014-01-23T13:49:07Z | en |
dc.date.available | 2014-01-23T13:49:07Z | en |
dc.date.issued | 1991-11 | en |
dc.description.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. 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.citation | Hinton, 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/10.1063/1.529046 | en |
dc.identifier.doi | https://doi.org/10.1063/1.529046 | en |
dc.identifier.issn | 0022-2488 | en |
dc.identifier.uri | http://hdl.handle.net/10919/25119 | en |
dc.identifier.url | http://scitation.aip.org/content/aip/journal/jmp/32/11/10.1063/1.529046 | en |
dc.language.iso | en_US | en |
dc.publisher | AIP Publishing | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.title | Inverse scattering on the line for a Dirac system | en |
dc.title.serial | Journal of Mathematical Physics | en |
dc.type | Article - Refereed | en |
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