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Dissertations / Theses on the topic 'Solitary waves'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

King, Gregory B. (Gregory Blaine). "Explicit Multidimensional Solitary Waves." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504381/.

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In this paper we construct explicit examples of solutions to certain nonlinear wave equations. These semilinear equations are the simplest equations known to possess localized solitary waves in more that one spatial dimension. We construct explicit localized standing wave solutions, which generate multidimensional localized traveling solitary waves under the action of velocity boosts. We study the case of two spatial dimensions and a piecewise-linear nonlinearity. We obtain a large subset of the infinite family of standing waves, and we exhibit several interesting features of the family. Our s

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2

Chen, Hongqiu. "Solitary waves and other long-wave phenomena /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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3

Orszaghova, Jana. "Solitary waves and wave groups at the shore." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:5b168bdc-4956-4152-a303-b23a6067bf42.

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A significant proportion of the world's population and physical assets are located in low lying coastal zones. Accurate prediction of wave induced run-up and overtopping of sea defences are important in defining the extent and severity of wave action, and in assessing risk to people and property from severe storms and tsunamis. This thesis describes a one-dimensional numerical model based on the Boussinesq equations of Madsen and Sorensen (1992) and the non-linear shallow water equations. The model is suitable for simulating propagation of weakly non-linear and weakly dispersive waves from int

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4

Kim, Boguk Ph D. Massachusetts Institute of Technology. "Three-dimensional solitary waves in dispersive wave systems." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/34543.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.<br>Includes bibliographical references (p. 119-122).<br>Fully localized three-dimensional solitary waves, commonly referred to as 'lumps', have received far less attention than two-dimensional solitary waves in dispersive wave systems. Prior studies have focused in the long-wave limit, where lumps exist if the long-wave speed is a minimum of the phase speed and are described by the Kadomtsev-Petviashvili (KP) equation. In the water-wave problem, in particular, lumps of the KP type are possible only in the stron

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5

Hoseini, Sayed Mohammad. "Solitary wave interaction and evolution." Access electronically, 2007. http://www.library.uow.edu.au/adt-NWU/public/adt-NWU20080221.110619/index.html.

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6

Mak, William Chi Keung Electrical Engineering &amp Telecommunications Faculty of Engineering UNSW. "Coupled Solitary Waves in Optical Waveguides." Awarded by:University of New South Wales. Electrical Engineering and Telecommunications, 1998. http://handle.unsw.edu.au/1959.4/17494.

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Soliton states in three coupled optical waveguide systems were studied: two linearly coupled waveguides with quadratic nonlinearity, two linearly coupled waveguides with cubic nonlinearity and Bragg gratings, and a quadratic nonlinear waveguide with resonant gratings, which enable three-wave interaction. The methods adopted to tackle the problems were both analytical and numerical. The analytical method mainly made use of the variational approximation. Since no exact analytical method is available to find solutions for the waveguide systems under study, the variational approach was proved t

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7

Melvin, Thomas R. O. "Travelling solitary waves in lattice equations." Thesis, University of Bristol, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.503947.

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This thesis is concerned with the existence and dynamics of travelling solitary waves in lattice equations, specifically a number of models of the discrete nonlinear Schrodinger equation (DNLS). The DNLS occurs in various forms when modelling a wide range of physical processes involving wave propagation. We provide a review of the literature and introduce some of the concepts that will be use to analyse the differential advance-delay equations which occur when posing lattice equations in a travelling frame. To show the existence of travelling solitary wave solutions to the DNLS three main meth

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8

Skryabin, Dmitry Vladimirovich. "Modulational instability of optical solitary waves." Thesis, University of Strathclyde, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366995.

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9

Moores, John Demeritt. "Collisions of orthogonally polarized solitary waves." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/14420.

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1989.<br>Includes bibliographical references.<br>Support from the Office of Naval Research in the form of a 1986-1989 ONR Fellowship.<br>by John Demeritt Moores.<br>M.S.

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10

Marchant, Anna Louise. "Formation of bright solitary matter-waves." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/7279/.

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This thesis presents the development of an experimental apparatus to produce Bose-Einstein condensates (BECs) with tunable interparticle interactions. The ability to precisely control the strength of these interactions, and even to switch them from repulsive to attractive, allows one to probe novel regimes of condensate physics, from the collapse of attractively interacting BECs and the formation of solitary matter-waves to the observation of beyond mean-field effects in strongly repulsive condensates. The construction and characterisation of both a single and crossed beam optical dipole trap

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11

Wiles, Timothy Peter. "Dynamics of bright solitary matter-waves." Thesis, Durham University, 2013. http://etheses.dur.ac.uk/7382/.

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This thesis describes the formation of a 85Rb Bose-Einstein condensate and the subsequent creation of a bright solitary matter-wave in a quasi-one-dimensional optical waveguide, with experiments investigating the dynamics of a solitary wave in comparison with a repulsive Bose-Einstein condensate. In the final chapters of this thesis, progress towards the interaction of a solitary wave with a narrow barrier and an attractive atom-surface potential is presented. Beyond the above, a review of recent soliton and solitary wave theory is presented from the perspective of an experimentalist, culminat

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12

Miyake, Taketoshi. "Computer Simulations of Electrostatic Solitary Waves." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/157008.

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本文データは平成22年度国立国会図書館の学位論文(博士)のデジタル化実施により作成された画像ファイルを基にpdf変換したものである<br>Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(情報学)<br>甲第8488号<br>情博第14号<br>新制||情||2(附属図書館)<br>UT51-2000-F392<br>京都大学大学院情報学研究科通信情報システム専攻<br>(主査)教授松本紘, 教授橋本弘蔵, 教授大村善治<br>学位規則第4条第1項該当

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13

Stastna, Marek. "Large fully nonlinear solitary and solitary-like internal waves in the ocean." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ65262.pdf.

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14

Johnston, Clifton Reed. "Solitary waves in fluid-filled elastic tubes." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq64866.pdf.

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15

Wattis, Jonathan A. D. "Analytic approximations to solitary waves on lattices." Thesis, Heriot-Watt University, 1993. http://hdl.handle.net/10399/1447.

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16

Cho, Yeunwoo 1973. "Nonlinear dynamics of three-dimensional solitary waves." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/61595.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 105-108).<br>In problems of dispersive wave propagation governed by two distinct restoring-force mechanisms, the phase speed of linear sinusoidal wavetrains may feature a minimum, cmin, at non-zero wavenumber, kmin. Examples include waves on the surface of a liquid in the presence of both gravity and surface tension, flexural waves on a floating ice sheet, in which case capillarity is replaced by the flexural rigidity

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17

Franklin, James. "Laboratory modelling of breaking internal solitary waves." Thesis, University of Dundee, 2014. https://discovery.dundee.ac.uk/en/studentTheses/bf2741dd-7183-4aa5-817e-f5d533269c95.

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18

Mamun, A. A. "Study of solitary waves in space plasmas." Thesis, University of St Andrews, 1997. http://hdl.handle.net/10023/13987.

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Theoretical investigations have been made of arbitrary amplitude electrostatic solitary waves in non-thermal plasmas, which may be of relevance to ionospheric and magnetospheric plasmas, and dusty plasmas, which are most common in earth's and cometary environments as well as in planetary rings, for understanding the nonlinear features of localised electrostatic disturbances in such space plasma systems. This thesis starts with an introductory chapter where a very brief historical review of solitary waves in plasmas has been presented. The study of arbitrary amplitude electrostatic solitary wav

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19

Thomas, Alexandra Elizabeth. "The interaction of an internal solitary wave with surface gravity waves." Thesis, University of Edinburgh, 2002. http://hdl.handle.net/1842/13106.

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Solitary waves are nonlinear, non-oscillatory disturbances of permanent form. Recent advances in synthetic aperture radar imaging and analysis techniques have confirmed <i>in situ</i> observations and measurements that the passage of oceanic internal waves, and in particular internal solitary waves, is associated with modulations in sea surface roughness. It has not only revealed the ubiquity of this phenomenon but also highlighted the global existence of large amplitude, tidally induced, internal solitary waves. It appears, however, that little laboratory-based research has been carried out i

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20

Yamazoe, Shotaro. "Bifurcations and Spectral Stability of Solitary Waves in Nonlinear Wave Equations." Kyoto University, 2020. http://hdl.handle.net/2433/259759.

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21

Ekeberg, Jonas. "Solitary waves and enhanced incoherent scatter ion lines." Doctoral thesis, Umeå universitet, Institutionen för fysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-42955.

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This thesis addresses solitary waves and their significance for auroral particle acceleration, coronal heating and incoherent scatter radar spectra. Solitary waves are formed due to a balance of nonlinear and dispersive effects. There are several nonlinearities present in ideal magnetohydrodynamics (MHD) and dispersion can be introduced by including theHall termin the generalised Ohm’s law. The resulting system of equations comprise the classical ideal MHD waves, whistlers, drift waves and solitarywave solutions. The latter reside in distinct regions of the phase space spanned by the speed and

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22

Aigner, Andreas 1972. "Numerical simulations of internal and inertial solitary waves." Monash University, Dept. of Mathematics and Statistics, 2001. http://arrow.monash.edu.au/hdl/1959.1/8880.

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23

Calvo, David C. (David Christopher). "Dynamics and stability of gravity-capillary solitary waves." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/88871.

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Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2001.<br>Includes bibliographical references (leaves 137-143).<br>Over the past several years, it has been recognized that a new class of solitary waves can propagate in nonlinear dispersive wave systems if the phase speed of linear waves attains a local extremum at some finite wavenumber. Near such a point, solitary waves in the form of small-amplitude wavepackets can be obtained for which the phase speed of the carrier oscillations matches the group speed of their envelope. Such an extremum is found in th

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24

Pirilla, Patrick Brian. "On the Trajectories of Particles in Solitary Waves." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628.

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25

Shen, Yifen. "The modulation of short waves riding on non-uniform velocity fields (solitary waves and long waves)." Thesis, University of Edinburgh, 1994. http://hdl.handle.net/1842/14405.

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This work studies the modulation and kinematics of short waves riding on non-uniform velocity fields (solitary waves and long waves) and achieves theoretical and experimental conclusions. For the interactions between short waves and solitary waves, short waves and long waves, this research shows that the wavenumber, frequency and amplitude of short waves riding on solitary waves and long waves are strongly modulated. It also demonstrates that the maximum values of the modulated short wavenumber, frequency, and amplitude always occur at the crests of solitary waves and long waves. By increasing

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26

Aközbek, Neset. "Optical solitary waves in a photonic band gap material." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0007/NQ35096.pdf.

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27

Bennett, Christopher James. "Solitary and transitional waves in two-layer microchannel flows." Thesis, University of Birmingham, 2015. http://etheses.bham.ac.uk//id/eprint/5922/.

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The understanding of wave dynamics in interfacial microchannel flows is important for many technological applications in the micro-device industry. Here, a theoretical and numerical study is undertaken in order to understand the propagation of interfacial waves in a two-layer flow. The flow is considered to be driven by, in separate cases, the force of gravity and a pressure gradient. The results may provide steps towards more efficiently designed microfluidic products, and a better understanding of experimentally observed waves.

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28

Yin, Chen Yun. "Solitary waves in immiscible two-component Bose-Einstein condensates." Thesis, University of Cambridge, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608650.

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29

Yu, Manfred Man Hoi. "Towards interferometry with bright solitary waves in a ring." Thesis, Durham University, 2016. http://etheses.dur.ac.uk/11441/.

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This thesis presents the work towards the realisation of an interferometer using bright solitary waves in a ring. The splitting of a bright solitary wave, which is created from a 85Rb Bose-Einstein condensate in an optical waveguide, is realised through scattering from a narrow potential well formed from a tightly focussed red detuned laser beam. We observe reflection of up to 25% of the atoms, along with the trapping of atoms at the position of the potential. Such a reflected fraction is much larger than the theoretical predictions for a single, narrow Gaussian potential. A more detailed mode

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30

Chen, Li-Jen. "Bernstein-Greene-Kruskal electron solitary waves in collisionless plasmas /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/9644.

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31

Farnum, Edward D. "Stability and dynamics of solitary waves in nonlinear optical materials /." Thesis, Connect to this title online; UW restricted, 2005. http://hdl.handle.net/1773/6766.

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32

Höwing, Johannes [Verfasser]. "Spectral Stability of Solitary Waves and Undercompressive Shocks / Johannes Höwing." Konstanz : Bibliothek der Universität Konstanz, 2013. http://d-nb.info/1037917707/34.

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33

Tiong, Wei K. "Propagation of solitary waves and undular bores over variable topography." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/10531.

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Description of the interaction of a shallow-water wave with variable topography is a classical and fundamental problem of fluid mechanics. The behaviour of linear waves and isolated solitary waves propagating over an uneven bottom is well understood. Much less is known about the propagation of nonlinear wavetrains over obstacles. For shallow-water waves, the nonlinear wavetrains are often generated in the form of undular bores, connecting two different basic flow states and having the structure of a slowly modulated periodic wave with a solitary wave at the leading edge. In this thesis, we exa

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34

Schmidt, Nathan Philip. "Generation, propagation and dissipation of second mode internal solitary waves." Thesis, University of Canterbury. Civil Engineering, 1998. http://hdl.handle.net/10092/7811.

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The behaviour of large amplitude second mode internal solitary waves has been investigated. Waves were generated in the laboratory by a variety of methods and were observed using dye and particle visualisation techniques. Observations of wave generation, propagation and dissipation were used to develop new theories about the behaviour of such waves. Waves were generated by exchange flow, forced inflow and gravity collapse. The generation sequence was found to be similar for all three methods, with the gravity collapse technique allowing the most rapid and repeatable generation of second mode

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35

Ilecki, Wojciech. "Theoretical study of spatial solitary waves in non-Kerr media." Thesis, University of Salford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395747.

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36

MacNeil, John Michael Larratt. "Solitary waves in focussing and defocussing nonlinear, nonlocal optical media." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/20951.

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Nonlinear, nonlocal optical media has emerged as an ideal setting for experimentally observing and studying spatial optical solitary waves which otherwise cannot occur in Kerr media. Of particular interest is the eventual application to all-optical circuits. However, there is considerable work left to do on the theoretical end before this is a possibility. In this thesis we consider three problems. The first is how to solve the governing equations for optical beam propagation in the particular medium of the nematic liquid crystal (NLC), which is used as a prototypical example, exactly and appr

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37

McSloy, John Michael. "Computationally determined existence and stability regimes of solitonic phenomena in nonlinear optics." Thesis, University of Strathclyde, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.269899.

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38

Husrin, Semeidi [Verfasser], and Hocine [Akademischer Betreuer] Oumeraci. "Attenuation of Solitary Waves and Wave Trains by Coastal Forests / Semeidi Husrin ; Betreuer: Hocine Oumeraci." Braunschweig : Technische Universität Braunschweig, 2013. http://d-nb.info/1175821764/34.

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39

Preuße, Martina [Verfasser]. "Properties of Internal Solitary Waves in Deep Temperate Lakes / Martina Preuße." Konstanz : Bibliothek der Universität Konstanz, 2012. http://d-nb.info/1025637321/34.

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40

Marini, Andrea. "Theory of nonlinear and amplified surface plasmon polaritons." Thesis, University of Bath, 2011. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.547873.

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This thesis presents a study of Surface Plasmon Polaritons (SPPs) in hybrid metal-dielectric waveguides. The embedding of metal in nanostructured photonic components allows for manipulating and guiding light at the subwavelength scale. Such an extreme confinement enhances the nonlinear response of the dielectric medium, which is important for applications in optical processing of information, but is paid in terms of considerable ohmic loss in the metal. It is, however, possible to embed externally pumped active inclusions in the dielectric in order to compensate for the metal loss. A novel per

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41

Kim, Sungphil. "Internal Tides and Internal Solitary Waves in the Northern South China Sea." NCSU, 2009. http://www.lib.ncsu.edu/theses/available/etd-05152009-141246/.

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Large-amplitude internal solitary waves (ISWs) are frequently observed in the northern South China Sea (SCS). In a project sponsored by the US Office of Naval Research, four moorings were deployed between the Luzon Strait and the Chinese continental shelf by Steve Ramp of the Naval Postgraduate School and David Tang of National Taiwan University from late April 2005 to May 2006. Several CTD sections were taken during April and July in 2005. Satellite pictures were also collected during that period. In this study, these data were used to examine the characteristics, generation, and propagation

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42

Billam, Thomas Paul. "Bright solitary waves and non-equilibrium dynamics in atomic Bose-Einstein condensates." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/3561/.

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In this thesis we investigate the static properties and non-equilibrium dynamics of bright solitary waves in atomic Bose-Einstein condensates in the zero-temperature limit, and we investigate the non-equilibrium dynamics of a driven atomic Bose-Einstein condensate at finite temperature. Bright solitary waves in atomic Bose-Einstein condensates are non-dispersive and soliton-like matter-waves which could be used in future atom-interferometry experiments. Using the mean-field, Gross-Pitaevskii description, we propose an experimental scheme to generate pairs of bright solitary waves with controll

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43

Li, Yile 1973. "Nonlinear shallow water three-dimensional solitary waves generated by high speed vessels." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/91907.

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44

Hoq, Qazi Enamul. "Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field." Thesis, University of North Texas, 2003. https://digital.library.unt.edu/ark:/67531/metadc4210/.

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It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the inﬂuence of an externally imposed uniform magnetic ﬁeld. We ﬁnd that the only stationary spinning solitary wave solutions have s

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45

Choi, Wooyoung Wu Theodore Y. T. Wu Theodore Y. T. "Forced generation of solitary waves in a rotating fluid and their stability /." Diss., Pasadena, Calif. : California Institute of Technology, 1993. http://resolver.caltech.edu/CaltechETD:etd-08242007-075146.

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46

Wan, Bangjun. "A numerical study of conjugate flows and flat-centred internal solitary waves in a continuously stratified fluid." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/mq25896.pdf.

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47

Wang, Caixia. "Geophysical observations of nonlinear internal solitary-like waves in the Strait of Georgia." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/17468.

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A novel observational method for studying internal features in the coastal ocean is devel- oped and tested in a study of large nonlinear internal solitary-like waves. Observations were carried out in the southern Strait of Georgia in the summers of 2001 and 2002. By quantitatively combining photogrammetrically rectified oblique photo images from a circling aircraft with water column data we track a number of internal wave packets for periods of up to one hour and obtain a more complete view of internal waves, including propagation, oblique interaction, and generation. First, the applicability

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48

Mohammadi, Siamak Malek. "Laboratory generation and physics of propagation of solitary waves and water surface depressions." Connect to this title online, 2009. http://etd.lib.clemson.edu/documents/1263400525/.

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49

Bisgard, Charlie. "Breaking and non-breaking solitary wave impact pressures on a cylinder over a 3-D bathymetry." Thesis, (4 MB), 2005. http://edocs.nps.edu/AR/topic/theses/2005/Jan/05Jan_Bisgard.pdf.

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Thesis (M.S.Civil and Environmental Engineering and Construction Management)--Oregon State University, 2005.<br>"January 2005." Description based on title screen as viewed on June 1, 2010 DTIC Descriptor(s): Three Dimensional, Bathymetry, Tsunamis, Earthquakes, Coastal Regions, Ocean Waves, Inertia, Landslides, Gravitational Fields, Seafloor Spreading, Long Wavelengths, Models, Energy, Theses, Time Includes bibliographical references (p. 84-85). Also available in print.

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50

El-Solh, Safinaz. "SPH Modeling of Solitary Waves and Resulting Hydrodynamic Forces on Vertical and Sloping Walls." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/23778.

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Currently, the accurate prediction of the impact of an extreme wave on infrastructure located near shore is difficult to assess. There is a lack of established methods to accurately quantify these impacts. Extreme waves, such as tsunamis generate, through breaking, extremely powerful hydraulic bores that impact and significantly damage coastal structures and buildings located close to the shoreline. The damage induced by such hydraulic bores is often due to structural failure. Examples of devastating coastal disasters are the 2004 Indian Ocean Tsunami, 2005 Hurricane Katrina and most recently,

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