Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/540755
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dc.coverage.spatialNonlinear Dynamics
dc.date.accessioned2024-01-22T09:39:09Z-
dc.date.available2024-01-22T09:39:09Z-
dc.identifier.urihttp://hdl.handle.net/10603/540755-
dc.description.abstractThis thesis is devoted to the extensive investigation of solitary wave or soliton-like solutions for variants of nonlinear Schrödinger equation (NLSE) which are collectively known as generalized NLSE (GNLSE). It addresses a variety of nonlinear systems, including optical fibers, tapered graded-index waveguides, and Bose-Einstein condensates (BECs). Real physical systems possess inhomogeneities originating due to the dissipation, environmental fluctuations, spatial modulations and other forces. In order to consider these factors, it is necessary to add the appropriate distributive terms in NLSE. The thesis begins with the study of the exact localized solutions for the complex cubic-quintic Ginzburg-Landau equation, under the influence of intrapulse Raman scattering, in the form of dark and front solitons. The dark solitons are characterized by a novel type of kink solution, which we shall identify as Lambert W-kink solitons. The effect of model coefficients on the amplitude of Lambert W-kink solitons is reported, enabling us to efficiently control the pulse intensity and thus their subsequent evolution. We also investigated moving front solitons for this model. We illustrate the mechanism to regulate the intensity of these fronts, by carefully adjusting the spectral filtering or gain parameter. We present nonlinear resonant state solutions for higher-order nonlinear Schrödinger equation (HNLSE) with Pöschl-Teller potential. Our primary interest in these Pöschl-Teller resonant states derives from the fact that the free parameter in the Pöschl-Teller potential regulates the intensity of optical pulses in nonlinear media. We have determined the nonlinear chirp associated with these localized solutions which can be efficiently controlled by suitably choosing self-steepening and self-frequency shift parameters. Furthermore, we provide a systematic approach based on the isospectral Hamiltonian technique, which provides us with another effective mechanism for amplifying the intensity of propagating pulses.
dc.format.extentxiii, 288p.
dc.languageEnglish
dc.relation-
dc.rightsuniversity
dc.titleStudy of soliton like solutions in nonlinear waveguide modelled by generalized nonlinear schrodinger equation
dc.title.alternative
dc.creator.researcherNisha
dc.subject.keywordGeneralized Nonlinear Schrodinger Equation
dc.subject.keywordNonlinear Dynamics
dc.subject.keywordParity Time Symmmetry
dc.subject.keywordSelf Similar Solutions
dc.subject.keywordSoliton Like Solutions
dc.description.noteAnnexure 127-129p.
dc.contributor.guideGoyal, Amit
dc.publisher.placeChandigarh
dc.publisher.universityPanjab University
dc.publisher.institutionDepartment of Physics
dc.date.registered2019
dc.date.completed2023
dc.date.awarded2024
dc.format.dimensions-
dc.format.accompanyingmaterialCD
dc.source.universityUniversity
dc.type.degreePh.D.
Appears in Departments:Department of Physics

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01_title page.pdfAttached File39.53 kBAdobe PDFView/Open
02_prelim pages.pdf1.3 MBAdobe PDFView/Open
03_chapter 1.pdf2.83 MBAdobe PDFView/Open
04_chapter 2.pdf863.52 kBAdobe PDFView/Open
05_chapter 3.pdf405.13 kBAdobe PDFView/Open
06_chapter 4.pdf417.96 kBAdobe PDFView/Open
07_annexures.pdf1.78 MBAdobe PDFView/Open
80_recommendation.pdf152.45 kBAdobe PDFView/Open


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