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Solitons And Particles


Solitons And Particles
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Solitons And Particles


Solitons And Particles
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Author : Giulio Soliani
language : en
Publisher: World Scientific
Release Date : 1984-12-01

Solitons And Particles written by Giulio Soliani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-01 with Science categories.


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.



Solitons And Particles


Solitons And Particles
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Author : Claudio Rebbi
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1984

Solitons And Particles written by Claudio Rebbi and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.




Classical Solutions In Quantum Field Theory


Classical Solutions In Quantum Field Theory
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Author : Erick J. Weinberg
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-16

Classical Solutions In Quantum Field Theory written by Erick J. Weinberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-16 with Science categories.


An overview of classical solutions and their consequences in quantum field theory, high energy physics and cosmology for graduates and researchers.



Solitons


Solitons
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Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 1989-02-09

Solitons written by P. G. Drazin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-02-09 with Mathematics categories.


This textbook is an introduction to the theory of solitons in the physical sciences.



Solitons And Instantons


Solitons And Instantons
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Author : R. Rajaraman
language : en
Publisher:
Release Date : 1987

Solitons And Instantons written by R. Rajaraman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.




Solitons


Solitons
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Author : Boling Guo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-03-19

Solitons written by Boling Guo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-19 with Mathematics categories.


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



Solitons


Solitons
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Author : Boling Guo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-03-19

Solitons written by Boling Guo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-19 with Mathematics categories.


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



Solitons And The Inverse Scattering Transform


Solitons And The Inverse Scattering Transform
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Author : Mark J. Ablowitz
language : en
Publisher: SIAM
Release Date : 2006-05-15

Solitons And The Inverse Scattering Transform written by Mark J. Ablowitz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-15 with Mathematics categories.


A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.



Nonlinear Waves And Solitons On Contours And Closed Surfaces


Nonlinear Waves And Solitons On Contours And Closed Surfaces
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Author : Andrei Ludu
language : en
Publisher: Springer Nature
Release Date : 2022-11-04

Nonlinear Waves And Solitons On Contours And Closed Surfaces written by Andrei Ludu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-04 with Science categories.


This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering.



Topological Solitons


Topological Solitons
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Author : Nicholas Manton
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-10

Topological Solitons written by Nicholas Manton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-10 with Science categories.


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.