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Solitons, Helal


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Автор: Helal
Название:  Solitons
ISBN: 9781071624562
Издательство: Springer
Классификация:





ISBN-10: 1071624563
Обложка/Формат: Hardback
Страницы: 475
Вес: 1.29 кг.
Дата издания: 27.11.2022
Серия: Solitons
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 112 illustrations, color; 39 illustrations, black and white; xxiv, 475 p. 151 illus., 112 illus. in color.
Размер: 254 x 178
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schr?dinger (NLS), Korteweg-de-Vries Burger’s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.
Дополнительное описание: Nonlinear Water Waves and Nonlinear Evolution Equations with Applications.- Inverse Scattering Transform and the Theory of Solitons.- Korteweg-de Vries Equation (KdV), Different Analytical Methods for Solving the.- Korteweg-de Vries Equation (KdV), Histor



Solitons

Автор: R. MacKenzie; M.B. Paranjape; W.J. Zakrzewski
Название: Solitons
ISBN: 0387988955 ISBN-13(EAN): 9780387988955
Издательство: Springer
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Цена: 24456.00 р.
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Описание: Solitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. 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.

Solitons and Condensed Matter Physics

Автор: A.R. Bishop; T. Schneider
Название: Solitons and Condensed Matter Physics
ISBN: 3642812937 ISBN-13(EAN): 9783642812934
Издательство: Springer
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Цена: 18284.00 р.
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Описание: Nonl inear ideas of a "sol iton" variety have been a unifying influence on the na tura 1 sci ences for many decades. HO /ever, thei r uni versa 1 a pprec i at i on in the physics community as a genuine paradigm is very much a current develop- ment. All of us who have been associated with this recent wave of enthusiasm were impressed with the variety of applications, their inevitability once the mental contraint of linear normal modes is removed, and above all by the common mathematical structures underpinning applications with quite different (and often novel) physical manifestations. This has certainly been the situ- ation in condensed matter, and when, during the Paris Lattice Dynamics Con- ference (September 1977), one of us (T. S. ) first suggested a condensed matter soliton Meeting, the idea was strongly encouraged. It would provide an opportunity to exhibit the common mathematical problems, illuminate the new contexts, and thereby focus the "subject" of nonlinear physics at this embryonic stage of its evolution. The original conception was to achieve a balance of mathematicians and phy cis such that each would benefit from the other's expertise and out- look. In contrast to many soliton Meetings, hO /ever, a deliberate attempt was made to emphasize physics contexts rather than mathematical details.

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Автор: Ludu
Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces
ISBN: 3031146409 ISBN-13(EAN): 9783031146404
Издательство: Springer
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Цена: 20962.00 р.
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Описание: 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.

Solitons

Автор: R.K. Bullough; P.J. Caudrey
Название: Solitons
ISBN: 3642814506 ISBN-13(EAN): 9783642814501
Издательство: Springer
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Цена: 15672.00 р.
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Описание: With contributions by numerous experts

Supersymmetric solitons

Автор: Shifman, M. (university Of Minnesota) Yung, A. (university Of Minnesota)
Название: Supersymmetric solitons
ISBN: 1009402226 ISBN-13(EAN): 9781009402224
Издательство: Cambridge Academ
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Цена: 4434.00 р.
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Описание: In the last decade methods and techniques based on supersymmetry have provided deep insights in quantum chromodynamics and other non-supersymmetric gauge theories at strong coupling. This book summarizes major advances in critical solitons in supersymmetric theories, and their implications for understanding basic dynamical regularities of non-supersymmetric theories. After an extended introduction on the theory of critical solitons, including a historical introduction, the authors focus on three topics: non-Abelian strings and confined monopoles; reducing the level of supersymmetry; and domain walls as D-brane prototypes. They also provide a thorough review of issues at the cutting edge, such as non-Abelian flux tubes. The book presents an extensive summary of the current literature so researchers in this field can understand the background and related issues. First published in 2009, this title has been reissued as an Open Access publication on Cambridge Core.

Variational Methods in Nonlinear Field Equations

Автор: Vieri Benci; Donato Fortunato
Название: Variational Methods in Nonlinear Field Equations
ISBN: 3319361228 ISBN-13(EAN): 9783319361222
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.

Solitons in Liquid Crystals

Автор: Lui Lam; Jacques Prost
Название: Solitons in Liquid Crystals
ISBN: 1461269466 ISBN-13(EAN): 9781461269465
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Solitons are a well-known and intriguing aspect of nonlinear behavior in a continuous system such as a fluid: a wave propagates through the medium without distortion.

Solitons in Physics, Mathematics, and Nonlinear Optics

Автор: Peter J. Olver; David H. Sattinger
Название: Solitons in Physics, Mathematics, and Nonlinear Optics
ISBN: 1461390354 ISBN-13(EAN): 9781461390350
Издательство: Springer
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Цена: 15672.00 р.
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Описание: This IMA Volume in Mathematics and its Applications SOLITONS IN PHYSICS, MATHEMATICS, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the 1988-89 IMA program on NONLINEAR WAVES.

Variational Methods in Nonlinear Field Equations

Автор: Vieri Benci; Donato Fortunato
Название: Variational Methods in Nonlinear Field Equations
ISBN: 3319069136 ISBN-13(EAN): 9783319069135
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.

Nonlinear Waves

Автор: Kengne
Название: Nonlinear Waves
ISBN: 9811967431 ISBN-13(EAN): 9789811967436
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose–Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross–Pitaevskii equations. Based on the Heisenberg model of spin–spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering.

Solitons

Автор: Guo Boling, Pang Xiao-Feng, Wang Yu-Feng
Название: Solitons
ISBN: 3110549247 ISBN-13(EAN): 9783110549249
Издательство: Walter de Gruyter
Цена: 40403.00 р.
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Описание:

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
B cklund 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

Topological and Non-Topological Solitons in Scalar Field Theories

Автор: Yakov M. Shnir
Название: Topological and Non-Topological Solitons in Scalar Field Theories
ISBN: 1108429912 ISBN-13(EAN): 9781108429917
Издательство: Cambridge Academ
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Цена: 19800.00 р.
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Описание: 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.


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