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Author : P. G. Drazin,R. S. Johnson
Publisher : Cambridge University Press
Page : 244 pages
File Size : 43,6 Mb
Release : 1989-02-09
Category : Mathematics
ISBN : 0521336554
This textbook is an introduction to the theory of solitons in the physical sciences.
Author : Nail Akhmediev,Adrian Ankiewicz
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 55,7 Mb
Release : 2005-04-25
Category : Technology & Engineering
ISBN : 3540233733
This volume is devoted to the exciting topic of dissipative solitons, i.e. pulses or spatially localised waves in systems exhibiting gain and loss. Examples are laser systems, nonlinear resonators and optical transmission lines. The physical principles and mathematical concepts are explained in a clear and concise way, suitable for students and young researchers. The similarities and differences in the notion of a soliton between dissipative systems and Hamiltonian and integrable systems are discussed, and many examples are given. The contributions are written by the world's leading experts in the field, making it a unique exposition of this emerging topic.
Author : Lu Yu
Publisher : World Scientific
Page : 774 pages
File Size : 47,7 Mb
Release : 1988
Category : Science
ISBN : 997150054X
Polyacetylence, (CH)x is the simplest conjugated polymer. Prestine polyacetylence is a good insulator, whereas its highly doped version exhibits metal-like electrical conductivity. This book gives a detailed introduction to this rapidly-developing field is given along with a collection of original papers. The main purpose is to help chemists and physicists grasp the main ideas and most important facts; an expert may also find it useful as a reference volume.
Author : Thierry Dauxois,Michel Peyrard
Publisher : Cambridge University Press
Page : 435 pages
File Size : 55,6 Mb
Release : 2006-03-09
Category : Mathematics
ISBN : 9780521854214
This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Author : Nicholas Manton,Paul Sutcliffe
Publisher : Cambridge University Press
Page : 507 pages
File Size : 44,7 Mb
Release : 2004-06-10
Category : Science
ISBN : 9781139454698
Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
Author : V. Belinski,E. Verdaguer
Publisher : Cambridge University Press
Page : 280 pages
File Size : 40,8 Mb
Release : 2001-07-19
Category : Science
ISBN : 1139428969
This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes. A valuable reference for researchers and graduate students in the fields of general relativity, string theory and cosmology, this book will also be of interest to mathematical physicists in general.
Author : Kuppuswamy Porsezian,Valakkattil Chako Kuriakose
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 52,5 Mb
Release : 2003-01-22
Category : Science
ISBN : 9783540001553
Optical Solitons represent one of the most exciting and fascinating concepts in modern communications, arousing special interest due to their potential applications in optical fibre communication. This volume focuses on the explicit integration of analytical and experimental methods in nonlinear fibre optics and integrated optics. It covers all important recent technical issues in optical-soliton communication. For example, individual chapters are devoted to topics such as dispersion management and fibre Bragg grating. All authors are leading authorities in their fields.
Author : Yuri S. Kivshar,Govind Agrawal
Publisher : Academic Press
Page : 540 pages
File Size : 47,7 Mb
Release : 2003-06-12
Category : Science
ISBN : 0080538096
The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short distances due to dispersion, but solitons on the other hand are not as susceptible to the effects of dispersion, and although they are subject to losses due to attenuation they can be amplified without being received and re-transmitted. This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping. It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Also, it will summarize a number of important experimental verification of the basic theoretical predictions and concepts covering the observation of self-focusing in the earlier days of nonlinear optics and the most recent experimental results on spatial solitons, vortex solitons, and soliton interaction & spiraling. * Introduces the fundamental concepts of the theory of nonlinear waves and solitons through realistic models * Material is based on authors' years of experience actively working in and researching the field * Summarizes the most important experimental verification of the basic theories, predictions and concepts of this ever evolving field from the earliest studies to the most recent
Author : R. MacKenzie,M.B. Paranjape,W.J. Zakrzewski
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 48,9 Mb
Release : 2000
Category : Mathematics
ISBN : 0387988955
Solitons were discovered by John Scott Russel in 1834 and have intrigued scientists and mathematicians ever since. They have been the subject of a large body of research not only in mathematics and physics, but also engineering, biology, and other disciplines. This volume comprises the presentations at an interdisciplinary workshop held at Querns University in Kingston, Ontario. It includes chapters on mathematical and numerical aspects of solitons, recent developments in string theory, and applications of solitons in such areas as nuclear and particle physics, cosmology, and condensed-matter physics.
Author : David S. Ricketts,Donhee Ham
Publisher : CRC Press
Page : 191 pages
File Size : 47,6 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781351833691
The dominant medium for soliton propagation in electronics, nonlinear transmission line (NLTL) has found wide application as a testbed for nonlinear dynamics and KdV phenomena as well as for practical applications in ultra-sharp pulse/edge generation and novel nonlinear communication schemes in electronics. While many texts exist covering solitons in general, there is as yet no source that provides a comprehensive treatment of the soliton in the electrical domain. Drawing on the award winning research of Carnegie Mellon’s David S. Ricketts, Electrical Solitons Theory, Design, and Applications is the first text to focus specifically on KdV solitons in the nonlinear transmission line. Divided into three parts, the book begins with the foundational theory for KdV solitons, presents the core underlying mathematics of solitons, and describes the solution to the KdV equation and the basic properties of that solution, including collision behaviors and amplitude-dependent velocity. It also examines the conservation laws of the KdV for loss-less and lossy systems. The second part describes the KdV soliton in the context of the NLTL. It derives the lattice equation for solitons on the NLTL and shows the connection with the KdV equation as well as the governing equations for a lossy NLTL. Detailing the transformation between KdV theory and what we measure on the oscilloscope, the book demonstrates many of the key properties of solitons, including the inverse scattering method and soliton damping. The final part highlights practical applications such as sharp pulse formation and edge sharpening for high speed metrology as well as high frequency generation via NLTL harmonics. It describes challenges to realizing a robust soliton oscillator and the stability mechanisms necessary, and introduces three prototypes of the circular soliton oscillator using discrete and integrated platforms.
Author : Mário F. S. Ferreira
Publisher : Springer Nature
Page : 369 pages
File Size : 50,5 Mb
Release : 2022-09-23
Category : Science
ISBN : 9783030974930
This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zero-parameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked cavities.
Author : Vladimir E. Zakharov,Stefan Wabnitz
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 44,9 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662038079
1 2 V. E. Zakharov and S. Wabnitz 1 L. D. Landau Institute for Theoretical Physics, 2 Kosygin Str. , 117334 Moscow, Russia 2 Laboratoire de Physique, University of Bourgogne, 9 avenue A. Savary, 21078 Dijon, France After about a quarter of a century since the first theoretical predictions of op tical solitons, the industrial application of the optical soliton concept is near to reality in the booming field of modern telecommunications, where the de mand for high-speed data transmission and routing is of ever-growing. This book contains a set of lectures that were presented at a Les Houches school on optical solitons in September 1998. The school was successful in gathering among the lecturers most of the well-recognized world leaders in the field of optical solitons. A variety of different aspects of research into optical solitons was exposed in the lectures, ranging from the mathematical fundations of integrability theory to the rapidly evolving technological advances of fiber soliton-based telecommu nication systems. The overall impression that the participants and the students received from the school is that this field of research is an excellent example of the rapid transfer that occurs nowadays from basic science to the technological implementations of the first principles. The subjects that were covered by the lectures can be broadly grouped into four main categories: optical soliton the ory, fiber soliton telecommunications, optical soliton generation methods, and all-optical information processing via spatial solitons.
Author : Michel Remoissenet
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 54,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662037904
Written for an interdisciplinary readership, this book is a practical guide to the fascinating world of solitons. The author approaches the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. This third edition has been thoroughly revised and updated.
Author : Aavishkar Katti,R.A. Yadav
Publisher : Springer Nature
Page : 169 pages
File Size : 51,9 Mb
Release : 2021-05-31
Category : Science
ISBN : 9789811625503
This book highlights recent advances of optical spatial solitons in photorefractive materials ranging broadly from the coupling, modulation instability, effect of pyroelectricity, and the stability of photorefractive solitons, among other topics. Photorefractive solitons have been at the forefront of research because of their formation at low laser powers and unique saturable nonlinearity present in photorefractive materials which supports solitons in (2+1) D. There has been a spurt in research on photorefractive solitons recently, which has contributed to a greater understanding of the theoretical foundation of photorefractive solitons as also of their various interesting and practical applications. The book elucidates the diversity of photorefractive solitons and provides a good resource for students, researchers, and professionals in the area of nonlinear optics.
Author : Orazio Descalzi,Marcel Clerc,Stefania Residori,Gaetano Assanto
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 47,8 Mb
Release : 2011-01-06
Category : Science
ISBN : 9783642165498
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spontaneous breaking of symmetries. A particularly fascinating feature of these pattern-forming systems is their tendency to produce spatially confined states. These localized wave packets can exist as propagating entities through space and/or time. Various examples of such systems will be dealt with in this book, including localized states in fluids, chemical reactions on surfaces, neural networks, optical systems, granular systems, population models, and Bose-Einstein condensates. This book should appeal to all physicists, mathematicians and electrical engineers interested in localization in far-from-equilibrium systems. The authors - all recognized experts in their fields - strive to achieve a balance between theoretical and experimental considerations thereby giving an overview of fascinating physical principles, their manifestations in diverse systems, and the novel technical applications on the horizon.