Parametrically driven dark solitons

Simple item page
dc.contributor.authorWoodford, S Ren_ZA
dc.date.accessioned2014-07-31T08:11:14Z
dc.date.available2014-07-31T08:11:14Z
dc.date.issued2004en_ZA
dc.descriptionIncludes bibliographical references (leaves 120-127).
dc.description.abstractThis is a study of the dynamics of the dark solitons described by the parametrically driven nonlinear Schrödinger equation. We prove that both types of dark solitons (the Bloch and Néel walls) are stable throughout their existence regions, and that in the region of their coexistence, a family of Bloch-Néel bound states exists, which is parametrised by the inter-soliton separation. Using the Hirota method, we explicitly construct the family.en_ZA
dc.identifier.apacitationWoodford, S. R. (2004). <i>Parametrically driven dark solitons</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4946en_ZA
dc.identifier.chicagocitationWoodford, S R. <i>"Parametrically driven dark solitons."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004. http://hdl.handle.net/11427/4946en_ZA
dc.identifier.citationWoodford, S. 2004. Parametrically driven dark solitons. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Woodford, S R AB - This is a study of the dynamics of the dark solitons described by the parametrically driven nonlinear Schrödinger equation. We prove that both types of dark solitons (the Bloch and Néel walls) are stable throughout their existence regions, and that in the region of their coexistence, a family of Bloch-Néel bound states exists, which is parametrised by the inter-soliton separation. Using the Hirota method, we explicitly construct the family. DA - 2004 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2004 T1 - Parametrically driven dark solitons TI - Parametrically driven dark solitons UR - http://hdl.handle.net/11427/4946 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4946
dc.identifier.vancouvercitationWoodford SR. Parametrically driven dark solitons. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4946en_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.titleParametrically driven dark solitonsen_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
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_sci_2004_woodford_sr.pdf
Size:
5.39 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Masters