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dc.contributor.advisorDeconinck, Bernard
dc.contributor.authorSegal, Benjamin L.
dc.date.accessioned2017-08-11T22:48:53Z
dc.date.available2017-08-11T22:48:53Z
dc.date.submitted2017-06
dc.identifier.otherSegal_washington_0250E_17077.pdf
dc.identifier.urihttp://hdl.handle.net/1773/39929
dc.descriptionThesis (Ph.D.)--University of Washington, 2017-06
dc.description.abstractI present an analysis of the stability spectrum of all stationary elliptic-type solutions to the focusing Nonlinear Schroedinger equation and the sine-Gordon equation. An analytical expression for the spectrum is given. From this expression, various quantitative and qualitative results about the spectrum are derived. Specifically, the solution parameter space is shown to be split into regions of distinct qualitative behavior of the spectrum. Additional results on the stability of solutions with respect to perturbations of an integer multiple of the period are given, as well as a procedure for approximating the greatest real part of the spectrum.
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.rightsnone
dc.subjectElliptic solutions
dc.subjectFocusing NLS
dc.subjectsine-Gordon
dc.subjectStability
dc.subjectApplied mathematics
dc.subject.otherApplied mathematics
dc.titleThe stability and instabilities of stationary solutions to the nonlinear Schroedinger equation and the sine-Gordon equation
dc.typeThesis
dc.embargo.termsOpen Access


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