Topological Solitons PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Topological Solitons PDF full book. Access full book title Topological Solitons by Nicholas Manton. Download full books in PDF and EPUB format.
Author: Nicholas Manton
Publisher: Cambridge University Press
ISBN: 1139454692
Category : Science
Languages : en
Pages : 507
Get Book Here
Book Description
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: Nicholas Manton
Publisher: Cambridge University Press
ISBN: 1139454692
Category : Science
Languages : en
Pages : 507
Get Book Here
Book Description
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: Yakov M. Shnir
Publisher: Cambridge University Press
ISBN: 1316997154
Category : Science
Languages : en
Pages : 281
Get Book Here
Book Description
Solitons emerge in various non-linear systems as stable localized configurations, behaving in many ways like particles, from non-linear optics and condensed matter to nuclear physics, cosmology and supersymmetric theories. This book provides an introduction to integrable and non-integrable scalar field models with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, it brings together debates around solitary waves and construction of soliton solutions in various models and provides a discussion of solitons using simple model examples. These include the Kortenweg-de-Vries system, sine-Gordon model, kinks and oscillons, and skyrmions and hopfions. The classical field theory of scalar field in various spatial dimensions is used throughout the book in presentation of related concepts, both at the technical and conceptual level. Providing a comprehensive introduction to the description and construction of solitons, this book is ideal for researchers and graduate students in mathematics and theoretical physics.
Author: R. MacKenzie
Publisher: Springer Science & Business Media
ISBN: 1461212545
Category : Science
Languages : en
Pages : 308
Get Book Here
Book Description
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.
Author: Yakov M. Shnir
Publisher: Cambridge University Press
ISBN: 1108429912
Category : Science
Languages : en
Pages : 281
Get Book Here
Book Description
An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.
Author: Thierry Dauxois
Publisher: Cambridge University Press
ISBN: 0521854210
Category : Mathematics
Languages : en
Pages : 435
Get Book Here
Book Description
This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549417
Category : Mathematics
Languages : en
Pages : 463
Get Book Here
Book Description
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
Author: S.E. Trullinger
Publisher: Elsevier
ISBN: 0444598294
Category : Science
Languages : en
Pages : 916
Get Book Here
Book Description
In the twenty years since Zabusky and Kruskal coined the term ``soliton'', this concept changed the outlook on certain types of nonlinear phenomena and found its way into all branches of physics. The present volume deals with a great variety of applications of the new concept in condensed-matter physics, which is particularly reached in experimentally observable occurrences. The presentation is not centred around the mathematical aspects; the emphasis is on the physical nature of the nonlinear phenomena occurring in particular situations.With its emphasis on concrete, mostly experimentally verifiable cases, ``Solitons'' constitutes a very readable and instructive introduction to the subject as well as an up-to-date account of current developments in a field of research reaching maturity.
Author: Giulio Soliani
Publisher: World Scientific
ISBN: 9814513504
Category : Science
Languages : en
Pages : 837
Get Book Here
Book Description
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.
Author: Alexandre T. Filippov
Publisher: Springer Science & Business Media
ISBN: 0817649743
Category : Mathematics
Languages : en
Pages : 275
Get Book Here
Book Description
In this engaging book, the concept of the soliton is traced from the beginning of the last century to modern times with its recent applications.
Author: L. V. Chen
Publisher: Nova Publishers
ISBN: 9781594545597
Category : Science
Languages : en
Pages : 294
Get Book Here
Book Description
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: 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.
