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Nonlinear Waves and Solitons on Contours and Closed Surfaces, Ludu


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Автор: Ludu
Название:  Nonlinear Waves and Solitons on Contours and Closed Surfaces
ISBN: 9783031146404
Издательство: Springer
Классификация:



ISBN-10: 3031146409
Обложка/Формат: Hardback
Страницы: 566
Вес: 1.06 кг.
Дата издания: 19.11.2022
Серия: Springer Series in Synergetics
Язык: English
Издание: 3rd ed. 2022
Иллюстрации: 20 tables, color; 68 illustrations, color; 103 illustrations, black and white; xxxii, 566 p. 171 illus., 68 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: Introduction.- Topology and Algebra.- Vector Fields, Di?erential Forms, and Derivatives.- The Importance of the Boundary.- Geometry of Curves.- Geometry of Surfaces.- Motion of Curves and Solitons.- Kinematics of Fluids.- Hydrodynamics.



Nonlinear Waves and Solitons on Contours and Closed Surfaces

Автор: Andrei Ludu
Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces
ISBN: 3642440517 ISBN-13(EAN): 9783642440519
Издательство: Springer
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Цена: 14365.00 р.
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Описание: Extensively revised, expanded and updated for the new edition, this book offers a comprehensive introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours.

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Автор: Andrei Ludu
Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces
ISBN: 3642091962 ISBN-13(EAN): 9783642091964
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
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Описание: The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The second and third parts discuss the modeling of various physical solitons on compact systems.

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.

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.

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.

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.

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.

Dissipative Solitons in Reaction Diffusion Systems

Автор: Andreas Liehr
Название: Dissipative Solitons in Reaction Diffusion Systems
ISBN: 364242984X ISBN-13(EAN): 9783642429842
Издательство: Springer
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Цена: 11753.00 р.
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Описание: Integrating the concepts of classical and elementary particle interaction, this volume includes stripped-down model equations adaptable to numerous systems showing particle-like structures, making it a valuable source for researchers and graduate students.

Dissipative Optical Solitons

Автор: Ferreira
Название: Dissipative Optical Solitons
ISBN: 3030974928 ISBN-13(EAN): 9783030974923
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zero-parameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked cavities.

Solitons

Автор: Helal
Название: Solitons
ISBN: 1071624563 ISBN-13(EAN): 9781071624562
Издательство: Springer
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Цена: 48913.00 р.
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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.

Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons

Автор: Tanmay Vachaspati
Название: Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons
ISBN: 100929041X ISBN-13(EAN): 9781009290418
Издательство: Cambridge Academ
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Цена: 12355.00 р.
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Описание: Kinks and domain walls are the simplest kind of solitons and are invaluable for testing various ideas and for learning about non-perturbative aspects of field theories. They are the subject of research in essentially every branch of physics, ranging from condensed matter to cosmology. This book, first published in 2006, is an introduction to kinks and domain walls and their principal classical and quantum properties. The book examines classical solitons, building from examples in elementary systems to more complicated settings. The formation of solitons in phase transitions, their dynamics and their cosmological consequences are further discussed. The volume concludes with an explicit description of a few laboratory systems containing solitons. This text will be of interest to both graduate students and academic researchers in theoretical physics, particle physics, cosmology and condensed matter physics. This book has been reissued as an Open Access publication on Cambridge Core.

Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons

Автор: Tanmay Vachaspati
Название: Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons
ISBN: 1009290428 ISBN-13(EAN): 9781009290425
Издательство: Cambridge Academ
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Цена: 4118.00 р.
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Описание: Kinks and domain walls are the simplest kind of solitons and are invaluable for testing various ideas and for learning about non-perturbative aspects of field theories. They are the subject of research in essentially every branch of physics, ranging from condensed matter to cosmology. This book, first published in 2006, is an introduction to kinks and domain walls and their principal classical and quantum properties. The book examines classical solitons, building from examples in elementary systems to more complicated settings. The formation of solitons in phase transitions, their dynamics and their cosmological consequences are further discussed. The volume concludes with an explicit description of a few laboratory systems containing solitons. This text will be of interest to both graduate students and academic researchers in theoretical physics, particle physics, cosmology and condensed matter physics. This book has been reissued as an Open Access publication on Cambridge Core.


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