Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations

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dc.contributor.advisorBarashenkov, Igoren_ZA
dc.contributor.authorLee-Thorpe, Jamesen_ZA
dc.date.accessioned2015-01-04T14:29:31Z
dc.date.available2015-01-04T14:29:31Z
dc.date.issued2012en_ZA
dc.descriptionIncludes abstract.en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractIn this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear Schrödinger equations, both in the case of parametric driving and direct driving. We hope that this study is of interest not only in the context of the nonlinear Schrödinger equations but also separately as a study of an efficient numerical algorithm for continuing (path-following) solutions to general two-dimensional periodic soliton bearing PDEs.en_ZA
dc.identifier.apacitationLee-Thorpe, J. (2012). <i>Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/11261en_ZA
dc.identifier.chicagocitationLee-Thorpe, James. <i>"Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2012. http://hdl.handle.net/11427/11261en_ZA
dc.identifier.citationLee-Thorpe, J. 2012. Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schodinger equations. Masters’ Thesis. University of Cape Town.
dc.identifier.ris TY - Thesis / Dissertation AU - Lee-Thorpe, James AB - In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear Schrödinger equations, both in the case of parametric driving and direct driving. We hope that this study is of interest not only in the context of the nonlinear Schrödinger equations but also separately as a study of an efficient numerical algorithm for continuing (path-following) solutions to general two-dimensional periodic soliton bearing PDEs. DA - 2012 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2012 T1 - Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations TI - Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations UR - http://hdl.handle.net/11427/11261 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/11261
dc.identifier.vancouvercitationLee-Thorpe J. Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2012 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/11261en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleSpectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equationsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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