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dc.contributorVirginia Tech
dc.contributor.authorAktosun, T.
dc.contributor.authorKlaus, M.
dc.contributor.authorVandermee, C.
dc.date.accessioned2014-04-09T18:12:20Z
dc.date.available2014-04-09T18:12:20Z
dc.date.issued1992-04
dc.identifier.citationAktosun, T.; Klaus, M.; Vandermee, C., "inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed," J. Math. Phys. 33, 1395 (1992); http://dx.doi.org/10.1063/1.529714
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/10919/47052
dc.description.abstractThe inverse scattering problem for the 1-D Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi is studied. This equation is equivalent to the 1-D wave equation with speed 1/ square-root 1 - P(x) in a nonhomogeneous medium where Q(x) acts as a restoring force. When Q(x) is integrable with a finite first moment, P(x) < 1 and bounded below and satisfies two integrability conditions, P(x) is recovered uniquely when the scattering data and Q(x) are known. Some explicitly solved examples are provided.
dc.description.sponsorshipNSF DMS 9096268
dc.language.isoen_US
dc.publisherAIP Publishing
dc.subjectinverse scattering
dc.subjectwave equations
dc.titleinverse scattering in 1-D nonhomogeneous media and recovery of the wave speed
dc.typeArticle - Refereed
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/33/4/10.1063/1.529714
dc.date.accessed2014-03-20
dc.title.serialJournal of Mathematical Physics
dc.identifier.doihttps://doi.org/10.1063/1.529714


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