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Solitons In Action
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Book Synopsis Solutions In Action by : Karl Lanngren
Download or read book Solutions In Action written by Karl Lanngren and published by Elsevier. This book was released on 2012-12-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitons in Action is a collection of papers that discusses the concept of a wave packer or pulse known as a soliton. One paper reviews the development of the solitary wave concept, with emphasis on the difference between a solitary wave and a soliton. The Korteweg-deVries (KdV) equation shows the interactions between infinite sets of conservation laws and the inverse scattering transform method. The Backlund transform technique produces hierarchies of multisoliton solutions for nonlinear wave equations. The Gel-'fand-Levitan algorithm can effect an inverse scattering calculation that relates changes in the scattering data to changes in the solution of corresponding wave equation. One paper points out that concepts in differential geometry can show the fundamental nature of soliton behavior and the relationship between inverse scattering and the Backlund transformation. Solitons in action can be viewed as magnetic flux propagates through a gap (between two closely-spaced superconductors) in quantum units. This view results in a simplified procedure for perturbation expansions around multisoliton solutions. This collection can prove useful for researchers involved in the study of fluid mechanics, of pure and applied sciences, of mathematical sciences, and of wave theory.
Book Synopsis Solitons in Action by : Karl Erik Lonngren
Download or read book Solitons in Action written by Karl Erik Lonngren and published by . This book was released on 1978 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solitons in Molecular Systems by : Davydov
Download or read book Solitons in Molecular Systems written by Davydov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the It isn't that they can't see the end and begin with the answers. solution. It is that they can't Then one day, perhaps you will see the problem. find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'. Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electric engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "complete integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classifica tion schemes. The draw upon widely different sections of mathematics.
Book Synopsis Waves Called Solitons by : M. Remoissenet
Download or read book Waves Called Solitons written by M. Remoissenet and published by Springer Science & Business Media. This book was released on 1999 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Waves Called Solitons by : Michel Remoissenet
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.
Book Synopsis Solitons And Particles by : Giulio Soliani
Download or read book Solitons And Particles written by Giulio Soliani and published by World Scientific. This book was released on 1984-12-01 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the most up-to-date book on solitons and is divided into two parts. Part 1: Detailed introductory lectures on different aspects of solitons plus lectures on the mathematical aspects on this subject. Part 2: Is a collection of reprints on mathematical theories of solitons, solitons in field theory, solitons as particles and their properties, especially topological and physical properties. This book is aimed at a wide audience of physicists and mathematicians. It is an ideal reference book for young researchers and graduate students.
Download or read book Solitons written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-03-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Bäcklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
Book Synopsis New Developments in Soliton Research by : L. V. Chen
Download or read book New Developments in Soliton Research written by L. V. Chen and published by Nova Publishers. This book was released on 2006 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their discovery a mere thirty years ago, solitons have been invoked to explain such diverse phenomena as: The long lived 'giant red spot' in the highly turbulent Jovian atmosphere. The famous Fermi-Pasta-Ulam paradox wherein a nonlinearly coupled lattice of particles does not display the 'expected equipartition of energy among available modes. It covers: Ion-acoustic waves in a plasma; Energy storage and transfer in proteins via the Davydov soliton; and The propagation of short laser pulses in optical fibres over long distances with negligible shape change. This volume presents important research from around the globe.
Book Synopsis Solitons in Mathematics and Physics by : Alan C. Newell
Download or read book Solitons in Mathematics and Physics written by Alan C. Newell and published by SIAM. This book was released on 1985-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The soliton is a dramatic concept in nonlinear science. What makes this book unique in the treatment of this subject is its focus on the properties that make the soliton physically ubiquitous and the soliton equation mathematically miraculous. Here, on the classical level, is the entity field theorists have been postulating for years: a local traveling wave pulse; a lump-like coherent structure; the solution of a field equation with remarkable stability and particle-like properties. It is a fundamental mode of propagation in gravity- driven surface and internal waves; in atmospheric waves; in ion acoustic and Langmuir waves in plasmas; in some laser waves in nonlinear media; and in many biologic contexts, such as alpha-helix proteins.
Book Synopsis Optical Solitons by : Yuri S. Kivshar
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
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.
Download or read book Solitons written by R. MacKenzie and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. They have been the subject of a large body of research in a wide variety of fields of physics and mathematics, not to mention engineering and other branches of science such as biology. This volume comprises the written versions of the talks presented at a workshop held at Queen's University in 1997, an interdisciplinary meeting wherein top researchers from many fields could meet, interact, and exchange ideas. Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics. The book should be of interest to researchers in any field in which solitons are encountered.
Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :
Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 1997 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissipative Optical Solitons by : Mário F. S. Ferreira
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.
Book Synopsis Baryons As Skyrme Solitons - Proceedings Of The International Workshop by : G Holzwarth
Download or read book Baryons As Skyrme Solitons - Proceedings Of The International Workshop written by G Holzwarth and published by World Scientific. This book was released on 1993-07-15 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revival of the Skyrme model for baryons has led to a large variety of investigations ranging from the foundations of effective meson theories and chiral soliton models, over numerous extensions of Skyrme's original concept, to many impressive results in applications to the meson-baryon system. Each author has made essential contributions to the field of his expertise, and the lectures collected in this proceedings review and asses the present status of these achievements and serve as guiding lines for future developments.
Book Synopsis Voltage-Sensitive Ion Channels by : H. Richard Leuchtag
Download or read book Voltage-Sensitive Ion Channels written by H. Richard Leuchtag and published by Springer Science & Business Media. This book was released on 2008-12-21 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voltage-sensitive ion channels are macromolecules embedded in the membranes of nerve and muscle fibers of animals. Despite decades of intensive research under the traditional approach of gated structural pores, the relation between the structure of these molecules and their function remains enigmatic. This book examines physically oriented approaches not covered in other ion-channel books, and it develops a new physics-based approach to the problem of molecular excitability.
Book Synopsis Hamiltonian Methods in the Theory of Solitons by : Ludwig Faddeev
Download or read book Hamiltonian Methods in the Theory of Solitons written by Ludwig Faddeev and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.
