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Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation

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Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation

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dc.contributor.author Busse, Theresa Nicole en_US
dc.date.accessioned 2008-08-08T02:31:13Z
dc.date.available 2008-08-08T02:31:13Z
dc.date.issued 2008-08-08T02:31:13Z
dc.date.submitted May 2008 en_US
dc.identifier.other DISS-2058 en_US
dc.identifier.uri http://hdl.handle.net/10106/966
dc.description.abstract The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method (known as the inverse scattering transform) to solve the initial-value problem for the NLS equation. Due to mathematical and technical difficulties, this method has been available mainly in the case where the multiplicity of each bound state is one. In our research we remove that restriction and generalize the inverse scattering transform for the NLS equation to the case where the multiplicity of each bound state is arbitrarily chosen. en_US
dc.description.sponsorship Aktosun, Tuncay en_US
dc.language.iso EN en_US
dc.publisher Mathematics en_US
dc.title Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation en_US
dc.type Ph.D. en_US
dc.contributor.committeeChair Aktosun, Tuncay en_US
dc.degree.department Mathematics en_US
dc.degree.discipline Mathematics en_US
dc.degree.grantor University of Texas at Arlington en_US
dc.degree.level doctoral en_US
dc.degree.name Ph.D. en_US
dc.identifier.externalLink https://www.uta.edu/ra/real/editprofile.php?onlyview=1&pid=1883
dc.identifier.externalLinkDescription Link to Research Profiles

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