Solitons

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Release : 1989-02-09
Genre : Mathematics
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Book Rating : 550/5 ( reviews)

Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solitons write by P. G. Drazin. This book was released on 1989-02-09. Solitons available in PDF, EPUB and Kindle. This textbook is an introduction to the theory of solitons in the physical sciences.

Topological Solitons

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Release : 2004-06-10
Genre : Science
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Book Rating : 692/5 ( reviews)

Topological Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Solitons write by Nicholas Manton. This book was released on 2004-06-10. Topological Solitons available in PDF, EPUB and Kindle. 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.

Waves Called Solitons

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Release : 2013-04-17
Genre : Science
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Book Rating : 578/5 ( reviews)

Waves Called Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Waves Called Solitons write by Michel Remoissenet. This book was released on 2013-04-17. Waves Called Solitons available in PDF, EPUB and Kindle. 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.

Physics of Solitons

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Release : 2006-03-09
Genre : Mathematics
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Book Rating : 210/5 ( reviews)

Physics of Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Physics of Solitons write by Thierry Dauxois. This book was released on 2006-03-09. Physics of Solitons available in PDF, EPUB and Kindle. This textbook gives an instructive view of solitons and their applications for advanced students of physics.

Optical Solitons

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Release : 2003-06-12
Genre : Technology & Engineering
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Book Rating : 096/5 ( reviews)

Optical Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optical Solitons write by Yuri S. Kivshar. This book was released on 2003-06-12. Optical Solitons available in PDF, EPUB and Kindle. 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