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dc.creatorAshour, Omar A.
dc.date.accessioned2020-08-03T18:21:10Z
dc.date.available2020-08-03T18:21:10Z
dc.date.created2017-05
dc.date.issued2017-04-27
dc.date.submittedMay 2017
dc.identifier.urihttps://hdl.handle.net/1969.1/188543
dc.description.abstractIn this work, we present fully periodic breathers of the nonlinear Schrodinger equation (NLSE) on both constant and elliptical dn-function backgrounds. The breathers can be generated under two conditions 1) the periods of the constituent breathers of the higher-order structures must be commensurate with each other; and 2) the period of the constituent first order breather must be commensurate with the period of the background. Breathers on constant backgrounds of arbitrary order can be generated numerically using a fully systematic procedure, pointing to the possibility of generating them experimentally using frequency combs. The peak height formula is presented and used to prove that these families of breathers are of maximal intensity.en
dc.format.mimetypeapplication/pdf
dc.subjectnonlinear Schrodinger equationen
dc.subjectbreathersen
dc.subjectsystematic generationen
dc.subjectpeak height formulaen
dc.titleMaximal Intensity Higher-Order Breathers of the Nonlinear Schrödinger Equation on Different Backgrounds
dc.typeThesisen
thesis.degree.departmentElectrical & Computer Engineeringen
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorUndergraduate Research Scholars Programen
thesis.degree.nameBSen
thesis.degree.levelUndergraduateen
dc.contributor.committeeMemberChin, Siu A.
dc.contributor.committeeMemberBelić, Milivoj R.
dc.type.materialtexten
dc.date.updated2020-08-03T18:21:10Z


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