Physics of 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 Physics of Solitons PDF full book. Access full book title Physics of Solitons by Thierry Dauxois. Download full books in PDF and EPUB format.
Author: Thierry Dauxois
Publisher: Cambridge University Press
ISBN: 0521854210
Category : Mathematics
Languages : en
Pages : 435
Get Book
Book Description
This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Author: Thierry Dauxois
Publisher: Cambridge University Press
ISBN: 0521854210
Category : Mathematics
Languages : en
Pages : 435
Get Book
Book Description
This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521336550
Category : Mathematics
Languages : en
Pages : 244
Get Book
Book Description
This textbook is an introduction to the theory of solitons in the physical sciences.
Author: Nicholas Manton
Publisher: Cambridge University Press
ISBN: 1139454692
Category : Science
Languages : en
Pages : 507
Get Book
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: Alan C. Newell
Publisher: SIAM
ISBN: 0898711967
Category : Technology & Engineering
Languages : en
Pages : 259
Get Book
Book Description
A discussion of the soliton, focusing on the properties that make it physically ubiquitous and the soliton equation mathematically miraculous.
Author: Yisong Yang
Publisher: Springer Science & Business Media
ISBN: 1475765487
Category : Mathematics
Languages : en
Pages : 571
Get Book
Book Description
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.
Author: Ludwig Faddeev
Publisher: Springer Science & Business Media
ISBN: 3540699694
Category : Science
Languages : en
Pages : 592
Get Book
Book Description
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.
Author: Orazio Descalzi
Publisher: Springer Science & Business Media
ISBN: 3642165494
Category : Science
Languages : en
Pages : 295
Get Book
Book Description
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.
Author: Eryk Infeld
Publisher: Cambridge University Press
ISBN: 9780521635578
Category : Mathematics
Languages : en
Pages : 416
Get Book
Book Description
The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Author: Alan C. Newell
Publisher: SIAM
ISBN: 9781611970227
Category : Technology & Engineering
Languages : en
Pages : 260
Get Book
Book Description
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.
Author: Alex Kasman
Publisher: American Mathematical Soc.
ISBN: 0821852450
Category : Mathematics
Languages : en
Pages : 322
Get Book
Book Description
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. --