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Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 9780521336550
Total Pages : 244 pages
Book Rating : 4.3/5 (365 download)
Download or read book Solitons written by P. G. Drazin and published by Cambridge University Press. This book was released on 1989-02-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory of solitons in the physical sciences.
Author : Nicholas Manton
Publisher : Cambridge University Press
ISBN 13 : 1139454692
Total Pages : 507 pages
Book Rating : 4.1/5 (394 download)
Download or read book Topological Solitons written by Nicholas Manton and published by Cambridge University Press. This book was released on 2004-06-10 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Matthew C. Williams
Publisher : Nova Science Publishers
ISBN 13 : 9781626182349
Total Pages : 0 pages
Book Rating : 4.1/5 (823 download)
Download or read book Solitons written by Matthew C. Williams and published by Nova Science Publishers. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of non-linear and dispersive effects in the medium. In this book, the authors discuss the interactions and theoretical and experimental challenges of solitons. Topics include soliton motion of electrons and its physical properties in coupled electron-phonon systems and ionic crystals; soliton excitations and its experimental evidence in molecular crystals; shapes and dynamics of semi-discrete solitons in arrayed and stacked waveguiding systems; and more.
Author : Alex Kasman
Publisher : American Mathematical Soc.
ISBN 13 : 0821852450
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Glimpses of Soliton Theory written by Alex Kasman and published by American Mathematical Soc.. This book was released on 2010 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --
Author : Yuri S. Kivshar
Publisher : Academic Press
ISBN 13 : 9780080538099
Total Pages : 540 pages
Book Rating : 4.5/5 (38 download)
Download or read book Optical Solitons written by Yuri S. Kivshar and published by Academic Press. This book was released on 2003-06-12 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Thierry Dauxois
Publisher : Cambridge University Press
ISBN 13 : 0521854210
Total Pages : 435 pages
Book Rating : 4.5/5 (218 download)
Download or read book Physics of Solitons written by Thierry Dauxois and published by Cambridge University Press. This book was released on 2006-03-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Author : Linn F. Mollenauer
Publisher : Elsevier
ISBN 13 : 9780080465067
Total Pages : 296 pages
Book Rating : 4.4/5 (65 download)
Download or read book Solitons in Optical Fibers written by Linn F. Mollenauer and published by Elsevier. This book was released on 2006-03-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitons are waves that retain their form through obstacle and distance. Solitons can be found in hydrodynamics, nonlinear optics, plasma physics, and biology. Optical solitons are solitary light waves that hold their form over an expansive interval. Conservation of this form creates an effective model for long distance voice and data transmission. The application of this principle is essential to the technology of wired communications. Optical solitons produce crystal clear phone calls cross-country and internationally. It is because of these that someone on the other end of the phone sounds 'in the next room.' It is also pertinent to high-speed network information transmittal. Mollenauer and Gordon have written the only text that an engineer or graduate student will need to understand this foundation subject in optics. *Written by Linn Mollenauer and James Gordon who are celebrated for applying optical solitons to telecommnications *Combines mathematical developments with well-chosen practical examples and design formulas *Extensive material on the basic physics of fiber optic transmission and its practical applications
Author : David S. Ricketts
Publisher : CRC Press
ISBN 13 : 1351833693
Total Pages : 191 pages
Book Rating : 4.3/5 (518 download)
Download or read book Electrical Solitons written by David S. Ricketts and published by CRC Press. This book was released on 2018-09-03 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Nail Akhmediev
Publisher : Springer Science & Business Media
ISBN 13 : 9783540233732
Total Pages : 472 pages
Book Rating : 4.2/5 (337 download)
Download or read book Dissipative Solitons written by Nail Akhmediev and published by Springer Science & Business Media. This book was released on 2005-04-25 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Michel Remoissenet
Publisher : Springer Science & Business Media
ISBN 13 : 3662030578
Total Pages : 248 pages
Book Rating : 4.6/5 (62 download)
Download or read book Waves Called Solitons written by Michel Remoissenet and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity is a fascinating element of nature whose importance has been appreciated for many years when considering large-amplitude wave motions observed in various fields ranging from fluids and plasmas to solid-state, chemical, biological, and geological systems. Localized large-amplitude waves called solitons, which propagate without spreading and have particle-like properties, represent one of the most striking aspects of nonlinear phenomena. Although a wealth of literature on the subject, including theoretical and numerical studies, is available in good recent books and research journals, very little material has found its way into introductory texbooks and curricula. This is perhaps due to a belief that nonlinear physics is difficult and cannot be taught at an introductory level to undergraduate students and practitioners. Consequently, there is considerable interest in developing practical material suitable for students, at the lowest introductory level. This book is intended to be an elementary introduction to the physics of solitons, for students, physicists, engineers and practitioners. We present the modeling of nonlinear phenomena where soliton-like waves are involved, together with applications to a wide variety of concrete systems and experiments. This book is designed as a book of physical ideas and basic methods and not as an up-to-the minute book concerned with the latest research results. The background in physics and the amount of mathematical knowledge assumed of the reader is within that usually accumulated by junior or senior students in physics.
Author : V. Belinski
Publisher : Cambridge University Press
ISBN 13 : 9781139428965
Total Pages : 280 pages
Book Rating : 4.4/5 (289 download)
Download or read book Gravitational Solitons written by V. Belinski and published by Cambridge University Press. This book was released on 2001-07-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stefano Trillo
Publisher : Springer
ISBN 13 : 354044582X
Total Pages : 468 pages
Book Rating : 4.5/5 (44 download)
Download or read book Spatial Solitons written by Stefano Trillo and published by Springer. This book was released on 2013-06-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitary wave physics plays a significant role from modern optical physics to optical communication, optical switching and optical storage. This book gives an updated overview of optical solitons, as a reference and guide for advanced students and scientists working in the field.
Author : S. Novikov
Publisher : Springer Science & Business Media
ISBN 13 : 9780306109775
Total Pages : 298 pages
Book Rating : 4.1/5 (97 download)
Download or read book Theory of Solitons written by S. Novikov and published by Springer Science & Business Media. This book was released on 1984-05-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mário F. S. Ferreira
Publisher : Springer Nature
ISBN 13 : 3030974936
Total Pages : 369 pages
Book Rating : 4.0/5 (39 download)
Download or read book Dissipative Optical Solitons written by Mário F. S. Ferreira and published by Springer Nature. This book was released on 2022-09-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eryk Infeld
Publisher : Cambridge University Press
ISBN 13 : 9780521635578
Total Pages : 416 pages
Book Rating : 4.6/5 (355 download)
Download or read book Nonlinear Waves, Solitons and Chaos written by Eryk Infeld and published by Cambridge University Press. This book was released on 2000-07-13 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Author : Lu Yu
Publisher : World Scientific
ISBN 13 : 9789971500542
Total Pages : 774 pages
Book Rating : 4.5/5 (5 download)
Download or read book Solitons & Polarons in Conducting Polymers written by Lu Yu and published by World Scientific. This book was released on 1988 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yisong Yang
Publisher : Springer Science & Business Media
ISBN 13 : 1475765487
Total Pages : 571 pages
Book Rating : 4.4/5 (757 download)
Download or read book Solitons in Field Theory and Nonlinear Analysis written by Yisong Yang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.
