Solitons In Mathematics And Physics
Download Solitons In Mathematics And Physics full books in PDF, epub, and Kindle. Read online free Solitons In Mathematics And Physics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Alan C. Newell |
| Publisher | : SIAM |
| Total Pages | : 260 |
| Release | : 1985-01-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9781611970227 |
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 | : P. G. Drazin |
| Publisher | : Cambridge University Press |
| Total Pages | : 244 |
| Release | : 1989-02-09 |
| Genre | : Mathematics |
| ISBN | : 9780521336550 |
This textbook is an introduction to the theory of solitons in the physical sciences.
| Author | : Nicholas Manton |
| Publisher | : Cambridge University Press |
| Total Pages | : 507 |
| Release | : 2004-06-10 |
| Genre | : Science |
| ISBN | : 1139454692 |
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 | : Yisong Yang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 571 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1475765487 |
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 | : Chaohao Gu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 414 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662031027 |
Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.
| Author | : Boling Guo |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 463 |
| Release | : 2018-03-19 |
| Genre | : Mathematics |
| ISBN | : 3110549417 |
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 | : Thierry Dauxois |
| Publisher | : Cambridge University Press |
| Total Pages | : 435 |
| Release | : 2006-03-09 |
| Genre | : Mathematics |
| ISBN | : 0521854210 |
This textbook gives an instructive view of solitons and their applications for advanced students of physics.
| Author | : Anjan Biswas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 170 |
| Release | : 2010-07-07 |
| Genre | : Science |
| ISBN | : 3642102204 |
"Mathematical Theory of Dispersion-Managed Optical Solitons" discusses recent advances covering optical solitons, soliton perturbation, optical cross-talk, Gabitov-Turitsyn Equations, quasi-linear pulses, and higher order Gabitov-Turitsyn Equations. Focusing on a mathematical perspective, the book bridges the gap between concepts in engineering and mathematics, and gives an outlook to many new topics for further research. The book is intended for researchers and graduate students in applied mathematics, physics and engineering and also it will be of interest to those who are conducting research in nonlinear fiber optics. Dr. Anjan Biswas is an Associate Professor at the Department of Applied Mathematics & Theoretical Physics, Delaware State University, Dover, DE, USA; Dr. Daniela Milovic is an Associate Professor at the Department of Telecommunications, Faculty of Electronic Engineering, University of Nis, Serbia; Dr. Matthew Edwards is the Dean of the School of Arts and Sciences at Alabama A & M University in Huntsville, AL, USA.
| Author | : L.A. Dickey |
| Publisher | : World Scientific |
| Total Pages | : 328 |
| Release | : 1991 |
| Genre | : Science |
| ISBN | : 9789810236847 |
The theory of soliton equations and integrable systems has developed rapidly during the last 20 years with numerous applications in mechanics and physics. For a long time books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this followed one single work by Gardner, Greene, Kruskal, and Miura about the Korteweg-de Vries equation (KdV) which, had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.
| Author | : Maciej Dunajski |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 374 |
| Release | : 2010 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0198570627 |
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
