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Dissertations / Theses on the topic 'Solitons'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Prabhu, Nagabhushana 1966. "Aspects of solition physics : existence of static solitons in an expanding universe and quantum soliton-antisoliton annihilation." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47461.

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2

Zamaklar, Marija. "Solitons on branes and brane solitons in supergravity theories." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620358.

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3

Bahri, Yakine. "Stability of solitons and multi-solitons for Landau-Lifschitz equation." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX028/document.

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Dans cette thèse, nous étudions l'équation de Landau-Lifshitz avec une anisotropie planaire en dimension un. Cette équation décrit la dynamique de l'aimantation dans des matériaux ferromagnétiques. Elle admet des solutions particulières de type onde progressive appelées solitons.D'abord, nous montrons la stabilité asymptotique des solitons de vitesse non nulle appelés solitons sombres dans l'espace d'énergie. Plus précisément, nous prouvons que toute solution correspondant à une donnée initiale proche du soliton de vitesse non nulle, converge faiblement dans l'espace d'énergie en temps long, v

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4

Harland, Derek. "Chains of solitons." Thesis, Durham University, 2008. http://etheses.dur.ac.uk/2303/.

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We construct and analyse chains of solitons in various field theories. Particular emphasis is placed on the constituent structure, which appears to be be a generic feature of chains. In Yang-Mills theory, we construct axially symmetric chains of instantons (calorons) with instanton charge 2, making essential use of the Nahm transform. We show that there are two distinct families of caloron, which can be distinguished using representation theory. We also construct calorons on hyperbolic space with instanton charge 1 and monopole charge 0. This generalises earlier work of Garland and Murray, in

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5

Suntsov, Sergiy. "DISCRETE SURFACE SOLITONS." Doctoral diss., University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2901.

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Surface waves exist along the interfaces between two different media and are known to display properties that have no analogue in continuous systems. In years past, they have been the subject of many studies in a diverse collection of scientific disciplines. In optics, one of the mechanisms through which optical surface waves can exist is material nonlinearity. Until recently, most of the activity in this area was focused on interfaces between continuous media but no successful experiments have been reported. However, the growing interest that nonlinear discrete optics has attracted in the las

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6

Morandotti, Roberto. "Discrete optical solitons." Thesis, University of Glasgow, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300979.

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7

Zárate, Devia Yair Daniel. "Phase shielding solitons." Tesis, Universidad de Chile, 2013. http://www.repositorio.uchile.cl/handle/2250/115388.

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Magíster en Ciencias, Mención Física<br>Los solitones son el fen omeno universal m as profundamente estudiado, debido a los innumerables sistemas físicos en los cuales se observa. Estas soluciones corresponden a estados localizados y coherentes que surgen naturalmente en sistemas extendidos, siendo una de sus propiedades m as fascinantes el hecho de que pueden ser tratados como partículas macroscópicas a pesar de estar formados por numerosos componentes microscópicos. Desde su primera descripci on, realizada por J. S. Russell en 1884, el estudio de solitones se centró en sistemas conservativo

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8

Hivet, Romain. "Solitons, demi-solitons et réseaux de vortex dans un fluide de polaritons." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2013. http://tel.archives-ouvertes.fr/tel-00911207.

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Ce travail est consacré à l'étude des fluides quantiques de polaritons de microcavités semi-conductrices et en particulier à la génération de solitons, de demi-solitons et de réseaux de vortex. Nous avons développé un dispositif expérimental permettant la génération et l'observation de solitons sombres dans un fluide de polaritons. Nous observons les profils de densité et de phase caractéristiques des solitons, et étudions leurs propriétés de stabilité. Nous montrons expérimentalement que l'utilisation d'une pompe polarisée linéairement mène à la formation de demi-solitons, grâce au champ magn

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9

Irwin, P. "Classical and quantized solitons." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604958.

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This thesis is concerned with the classical and semi-classical behaviour of solitons in three dimensions. In Chapter 2 we consider the zero mode quantization of the minimal energy Skyrmions for nucleon numbers between four and nine and also the conjectured solution with nucleon number of seventeen. The method relies on determining the contractibility of the loops in the configuration space corresponding to the discrete symmetry of the minimal energy solution. We find that for nucleon numbers four, six and eight the ground states obtained agree with the observed quantum numbers of the ground st

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10

Shiiki, Noriko. "Solitons and black holes." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.313504.

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11

Ruback, Peter Julian. "Solitons and moduli spaces." Thesis, University of Cambridge, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.238701.

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12

Wong, Kenny. "Applications of topological solitons." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708436.

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13

Russell, Katherine. "Field theory and solitons." Thesis, Heriot-Watt University, 2009. http://hdl.handle.net/10399/2205.

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14

Batista, Rondinelle Marcolino. "Rigidez de solitons gradiente." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=11142.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>Nosso objetivo nesse trabalho Ã apresentar um teorema que caracteriza os solitons gradiente rÃgidos para caso nÃo compacto. Como aplicaÃÃo provaremos que os solitons gradiente homogÃneos sÃo rÃgidos e apresentaremos um exemplar de soliton de Ricci que nÃo pode ser gradiente.<br>Our goal in this work is to present a theorem which characterizes the gradient solitons rigid for non-compact case. As an application we prove that the homogeneous gradient solitons are rigid and provide an example of the Ricci soliton can not be gradient.

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15

Betancourt, de la Parra Alejandro. "Cohomogeneity one Ricci solitons." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:8f924daf-d6e6-4150-96c2-d156a6a7815a.

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In this work we study the cohomogeneity one Ricci soliton equation viewed as a dynamical system. We are particularly interested in the relation between integrability of the associated system and the existence of explicit, closed form solutions of the soliton equation. The contents are organized as follows. The first chapter is an introduction to Ricci ow and Ricci solitons and their basic properties. We reformulate the rotationally symmetric Ricci soliton equation on Rn+1 as a system of ODE's following the treatment in [14]. In Chapter 2 we carry out a Painlevé analysis of the previous system

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16

Woodford, S. R. "Parametrically driven dark solitons." Master's thesis, University of Cape Town, 2004. http://hdl.handle.net/11427/4946.

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Includes bibliographical references (leaves 120-127).<br>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.

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17

Batista, Rondinelle Marcolino. "Rigidez de solitons gradiente." reponame:Repositório Institucional da UFC, 2013. http://www.repositorio.ufc.br/handle/riufc/7218.

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BATISTA, Rondinelle Marcolino. Rigidez de solitons gradiente. 2013. 70 f. Dissertação(Mestrado em Matemática) - Centro de Ciências, Universidade Federal do Ceará, Programa de Pós-Graduação em Matemática, Fortaleza, 2013.<br>Submitted by Erivan Almeida (eneiro@bol.com.br) on 2014-02-06T15:52:29Z No. of bitstreams: 1 2013_dis_rmbatista.pdf: 475768 bytes, checksum: 03728fa2f3ef21149ad9c1b4e45c720b (MD5)<br>Approved for entry into archive by Rocilda Sales(rocilda@ufc.br) on 2014-02-07T13:11:43Z (GMT) No. of bitstreams: 1 2013_dis_rmbatista.pdf: 475768 bytes, checksum: 03728fa2f3ef21149ad9c1b4e45c7

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18

Grün, Marc. "Analyse de la dynamique de solitons photoréfractifs." Metz, 2007. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/2007/Grun.Marc.SMZ0703.pdf.

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Les faisceaux laser se propageant dans un cristal photoréfractif sont à l'origine de la formation de solitons spatiaux nommés solitons photoréfractifs, dans le cadre d'un phénomène nommé filamentation. Leur dynamique complexe et sensible aux conditions initiales suggère la présence d'un chaos spatial, pressenti par les simulations numériques de propagation de faisceau. De manière à caractériser ce supposé chaos, nous utilisons d'abord un programme de modélisation basé sur une interprétation système des solitons ; la méthode de conformations d'événements quantifie alors la divergence entre deux

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19

Pickartz, Sabrina. "All-optical control of fiber solitons." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19468.

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Das Thema dieser Arbeit ist eine mögliche Steuerung eines optischen Solitons in nichtlinearen optischen Fasern. Es gelang, die interessierenden Solitonparameter wie Intensität, Dauer und Zeitverschiebung durch die Wechselwirkung mit einer dispersiven Welle geringer Intensität kontrollierbar zu modifizieren. Es wird eine neue analytische Theorie vorgestellt für die Wechselwirkung zwischen Solitonen und dispersiven Wellen, die auf der Kreuzphasenmodulation in nichtlinearen Fasern beruht. Das vorgestellte Modell kombiniert quantenmechnische Streutheorie und eine Erweiterung der Störungstheorie f

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20

Hashimoto, Koji. "New Solitons from Brane Configurations." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/181110.

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21

Elias, Ricardo. "Solitons magnétiques et transitions topologiques." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4712/document.

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Dans cette thèse nous étudions théoriquement et numériquement les solitons magnétiques et leurs transitions topologiques. Dans une première partie, nous trouvons une solution en 3 dimensions appelée Point de Bloch qui vient de la minimisation de l'énergie d'échange, de l'énergie de Landau et de l'énergie dipolaire. Les oscillations autour du point de Bloch sont trouvées et quantifiées pour étudier le rôle des fluctuations quantiques dans sa stabilité.Dans une deuxième partie, nous regardons l'évolution d'un système ferromagnétique avec des textures de topologie non-triviale, couplé à des élect

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22

Gillard, Mike. "Solitons and volume preserving flow." Thesis, Durham University, 2010. http://etheses.dur.ac.uk/533/.

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Solitons arise as solutions to non-linear partial differential equations. These equations are only analytically solvable in very few special cases. Other solutions must be found numerically. A useful technique for obtaining static solutions is gradient flow. Gradient flow evolution is in a direction which never increases energy, leading to solutions which are local minima. Here, a modified version of gradient flow referred to as volume preserving flow is introduced. This flow is constructed to evolve solutions towards local minima, while leaving a number of global quantities unaltered. Volume

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23

Makris, Konstantinos. "OPTICAL SOLITONS IN PERIODIC STRUCTURES." Doctoral diss., University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4118.

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By nature discrete solitons represent self-trapped wavepackets in nonlinear periodic structures and result from the interplay between lattice diffraction (or dispersion) and material nonlinearity. In optics, this class of self-localized states has been successfully observed in both one-and two-dimensional nonlinear waveguide arrays. In recent years such lattice structures have been implemented or induced in a variety of material systems including those with cubic (Kerr), quadratic, photorefractive, and liquid-crystal nonlinearities. In all cases the underlying periodicity or discreteness leads

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24

Lai, Yinchieh. "Quantum theory of optical solitons." Thesis, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/42512.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1991.<br>Includes bibliographical references (leaves 93-98).<br>v by Yinchieh Lai.<br>Ph.D.

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25

Long, Eamonn. "On charged solitons and electromagnetism." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.614274.

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26

Plansangkate, Prim. "Anti-self-duality and solitons." Thesis, University of Cambridge, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.611695.

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27

Gutowski, Jan Bernard. "Black holes and brane solitons." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620991.

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28

Collie, Benjamin Paul. "Dynamics and structure of solitons." Thesis, University of Cambridge, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608391.

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29

Westmoreland, Shawn Michael. "Optical black holes and solitons." Diss., Kansas State University, 2010. http://hdl.handle.net/2097/6910.

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Doctor of Philosophy<br>Department of Mathematics<br>Louis Crane<br>We exhibit a static, cylindrically symmetric, exact solution to the Euler-Heisenberg field equations (EHFE) and prove that its effective geometry contains (optical) black holes. It is conjectured that there are also soliton solutions to the EHFE which contain black hole geometries.

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30

Veras, Diego Frankin de Souza. "Solitons em macromolÃculas polimÃricas helicoidais." Universidade Federal do CearÃ, 2012. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8887.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>Um dos desafios da FÃsica TeÃrica Ã a tentativa de explorar como seus conceitos e tÃcnicas podem ser aplicados Ã Biologia para descrever a dinÃmica da matÃria viva. A complexidade da estrutura e organizaÃÃo dos sistemas biolÃgicos conduz a efeitos nÃo-lineares onde Ã possÃvel a manifestaÃÃo de mecanismos solitÃnicos. Uma forma atrativa de se estudar a propagaÃÃo de energia vibracional em biopolÃmeros, tais como proteÃnas, Ã baseada em modelos de redes nÃo-lineares. Na dÃcada de 1970, Davidov sugeriu que os modos de vibraÃÃes int

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31

Fogaça, David Augaitis. "Solitons em colisões núcleon-núcleo." Universidade de São Paulo, 2005. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-24032009-003904/.

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Supondo que o núcleo possa ser tratado como um fluido perfeito, nós estudamos as condições para a formação de solitons de Korteweg-de Vries (KdV) na matéria nuclear. A existência de solitons de KdV depende da equação de estado nuclear que, por sua vez, depende da teoria microcóspica subjacente da interação núcleon-núcleon e das aproximações feitas durante os cálculos. No nosso trabalho, nós retomamos estudos sobre solitons no núcleo feitos no passado e substituímos a equação de estado usada anteriormente por outra mais moderna e mais realista, baseada no modelo de Walecka e suas variantes

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32

Micciche, Salvatore. "Physical properties of gravitational solitons." Thesis, Loughborough University, 1999. https://dspace.lboro.ac.uk/2134/33196.

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Soliton solutions of Einstein's field equations for space–times with two non-null, commuting Killing Vectors are exact solutions obtained using the solution-generating techniques that resemble the well-known Inverse Scattering Methods that have been widely used m the solution of certain nonlinear PDE's such as Korteweg–de Vries, Sine–Gordon, non-linear Schrödinger. There exist two main soliton techniques in General Relativity. The Belinski–Zakharov technique allows for purely gravitational solutions. The Alekseev technique allows for solutions of the Einstein–Maxwell equations. In both techni

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33

Allen, Michael A. "The evolution of plane solitons." Thesis, University of Warwick, 1994. http://wrap.warwick.ac.uk/107575/.

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In this work we use the Zakharov-Kuznetsov equation to study the evolution of a plane soliton subjected to a two-dimensional perturbation. The first part of the thesis is concerned with determining the growth rate of such a perturbation. We present two closely related methods which allow us to obtain rigorously the growth rates much more directly and simply than previous approaches. Both methods are general and hence applicable to other problems. If the perturbation is of a large enough wavelength, the plane soliton will evolve into more stable coherent structures of the form of two-dimensiona

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34

Weir, David J. "Quantum mechanics of topological solitons." Thesis, Imperial College London, 2011. http://hdl.handle.net/10044/1/9146.

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Topological solitons - are of broad interest in physics. They are objects with localised energy and stability ensured by their topological properties. It is possible to create them during phase transitions which break some sym- metry in a frustrated system. They are ubiquitous in condensed matter, ranging from monopole excitations in spin ices to vortices in superconduc- tors. In such situations, their behaviour has been extensively studied. Less well understood and yet equally interesting are the symmetry-breaking phase transitions that could produce topological defects is the early universe.

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35

Söhn, Matthias. "Solitons in Bose-Einstein Condensates." [S.l. : s.n.], 2002. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10047894.

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36

Carr, Lincoln D. "Solitons in Bose-Einstein condensates /." Thesis, Connect to this title online; UW restricted, 2001. http://hdl.handle.net/1773/9702.

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37

Watanabe, Kimitaka. "Quantum effects in optical solitons /." Electronic version of summary, 1993. http://www.wul.waseda.ac.jp/gakui/gaiyo/1942.pdf.

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38

Muhamed, Abera Ayalew. "Moduli spaces of topological solitons." Thesis, University of Kent, 2015. https://kar.kent.ac.uk/47961/.

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This thesis presents a detailed study of phenomena related to topological solitons (in $2$-dimensions). Topological solitons are smooth, localised, finite energy solutions in non-linear field theories. The problems are about the moduli spaces of lumps in the projective plane and vortices on compact Riemann surfaces. Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions in real projective space are explicitly given by rational maps subject to a certain symmetry requirement. This has consequences for the behaviour of lumps and their symmetr

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39

Ashcroft, Jennifer. "Topological solitons and their dynamics." Thesis, University of Kent, 2017. https://kar.kent.ac.uk/64633/.

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Topological solitons are particle-like solutions of nonlinear field equations with important applications in physics. This thesis presents four research projects concerning topological solitons and their dynamics. We investigate solitons in (1+1)- and (2+1)-dimensions, and develop numerical methods to obtain static solutions and simulate soliton scattering. We first study kink collisions in a model with two scalar fields in the presence of false vacua. We find a variety of scattering outcomes depending on the initial velocity and vacuum structure. Kinks can either repel, form a true or false d

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Wink, Matthias. "Ricci solitons and geometric analysis." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:3aae2c5e-58aa-42da-9a1b-ec15cacafdad.

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This thesis studies Ricci solitons of cohomogeneity one and uniform Poincaré inequalities for differentials on Riemann surfaces. In the two summands case, which assumes that the isotropy representation of the principal orbit consists of two inequivalent Ad-invariant irreducible summands, complete steady and expanding Ricci solitons have been detected numerically by Buzano-Dancer-Gallaugher-Wang. This work provides a rigorous construction thereof. A Lyapunov function is introduced to prove that the Ricci soliton metrics lie in a bounded region of an associated phase space. This also gives an a

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Veras, Diego Frankin de Souza. "Solitons em macromoléculas poliméricas helicoidais." reponame:Repositório Institucional da UFC, 2012. http://www.repositorio.ufc.br/handle/riufc/13678.

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VERAS, Diego Frankin de Souza. Solitons em macromoléculas poliméricas helicoidais. 2012. 79 f. Dissertação (Mestrado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2012.<br>Submitted by Edvander Pires (edvanderpires@gmail.com) on 2015-10-20T20:11:29Z No. of bitstreams: 1 2012_dis_dfsveras.pdf: 1461424 bytes, checksum: e03cd018aa0d13ccd561b6569912d54e (MD5)<br>Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2015-10-21T20:39:53Z (GMT) No. of bitstreams: 1 2012_dis_dfsveras.pdf:

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Junior, Ernani de Sousa Ribeiro. "A geometria das mÃtricas tipo-Einstein." Universidade Federal do CearÃ, 2011. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=6655.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>O objetivo deste trabalho Ã estudar a geometria das mÃtricas tipo-Einstein (solitons de Ricci, quase solitons de Ricci e mÃtricas quasi-Einstein). Mais especificamente, vamos obter equaÃÃes de estrutura, exemplos, fÃrmulas integrais e estimativas que permitirÃo caracterizar estas classes de mÃtricas.<br>The purpose of this work is study the geometric of the like-Einstein metrics (Ricci soliton, almost Ricci solitons and quasi-Einstein metrics). More specifically, we o

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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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Santos, Blanco María Concepción. "Optical solitons in quadratic nonlinear media and applications to all-optical switching and routing devices." Doctoral thesis, Universitat Politècnica de Catalunya, 1998. http://hdl.handle.net/10803/6913.

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Esta tesis constituye un estudio detallado y exhaustivo de las propiedades de una variedad específica de ondas ópticas solitarias. Observadas experimentalmente por primera vez en 1995, estas ondas estan formadas por un haz óptico a frecuencia fundamental y su segundo armónico que están ligados entre sí y viajan juntos en el material cuadrático; y son debidas al equilibrio entre la difracción lineal que sufre el haz al propagarse y un término no lineal de segundo orden en la susceptibilidad del medio. Las llamamos por eso solitones ópticos en medios cuadráticos o simplemente 'solitones cuadrát

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45

Xiong, Xiaozhen. "Noncommutative field theories, solitons and superalgebra." [Gainesville, Fla.]: University of Florida, 2002. http://purl.fcla.edu/fcla/etd/UFE0000620.

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46

Genevet, Patrice. "Laser à solitons et vortex localisés." Phd thesis, Université de Nice Sophia-Antipolis, 2009. http://tel.archives-ouvertes.fr/tel-00435984.

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Les solitons de cavité (SC) sont des structures spatiales localisées que l'on peut générer dans une cavité optique non-linéaire. Ces structures se présentent sous la forme de pics lumineux de sur-intensité, "posées" sur un fond de lumière homogène. Depuis leur découverte, de nombreuses démonstrations de principe ont été réalisées, mettant en évidence leurs utilisations pour le traitement tout optique de l'information. Néanmoins, l'implémentation de dispositifs capables de générer des solitons de cavité dans le réseau télécom reste à l'heure actuelle improbable. Une simplification mais surtout

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47

Kikuchi, Toru. "Relativistic zero-mode dynamics of solitons." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157758.

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48

Christian, James Michael. "On the theory of Helmholtz solitons." Thesis, University of Salford, 2006. http://usir.salford.ac.uk/26616/.

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Abstract:

This thesis is concerned with spatial optical solitons in (quasi-two dimensional) planar waveguides, where there is a single longitudinal and (effectively) a single transverse dimension, and whose symmetry the solutions respect consistently. A key feature of Helmholtz soliton theory is that, by recognizing the physical equivalence of the longitudinal and transverse dimensions in uniform media, it can access experimental contexts involving broad, moderately intense beams that propagate and interact at arbitrarily large angles. It thus provides an ideal platform for the systematic generalization

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49

Kolossovski, Kazimir Mathematics &amp Statistics Australian Defence Force Academy UNSW. "Parametric solitons due to cubic nonlinearities." Awarded by:University of New South Wales - Australian Defence Force Academy. School of Mathematics and Statistics, 2001. http://handle.unsw.edu.au/1959.4/38711.

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Abstract:

The main subject of this thesis is solitons due to degenerate parametric four-wave mixing. Derivation of the governing equations is carried out for both spatial solitons (slab waveguide) and temporal solitons (optical fibre). Higher-order effects that are ignored in the standard paraxial approximation are discussed and estimated. Detailed analysis of conventional solitons is carried out. This includes discovery of various solitons families, linear stability analysis of fundamental and higher-order solitons, development of theory describing nonlinear dynamics of higher-order solitons. The major

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50

Atieh, Ahmad K. "Exploiting solitons in all-optical networks." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ28325.pdf.

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