Localized Excitations in Nonlinear Complex Systems
Localized Excitations in Nonlinear Complex Systems

Author: Ricardo Carretero-González

Publisher: Springer Science & Business Media

Published: 2013-11-19

Total Pages: 435

ISBN-13: 3319020579

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The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications. This volume is a compilation of chapters representing the current state-of-the-art on the field of localized excitations and their role in the dynamics of complex physical systems.

Emergent Nonlinear Phenomena in Bose-Einstein Condensates
Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Author: Panayotis G. Kevrekidis

Publisher: Springer Science & Business Media

Published: 2007-12-29

Total Pages: 398

ISBN-13: 3540735917

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This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.

Defects and Radiation Damage in Metals
Defects and Radiation Damage in Metals

Author: M. W. Thompson

Publisher: Cambridge University Press

Published: 1974-09-12

Total Pages: 442

ISBN-13: 9780521098656

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The study of radiation damage in solids generally has been stimulated by the technological demands of nuclear energy and space research. Professor Thompson's 1969 book discusses the basic atomic mechanisms which give rise to the main effects induced by radiation in metals, since it is in their relatively simple structures that the fundamental processes can be most easily identified. The first part of the book describes the nature of lattice defects in metal crystals. The presentation leads naturally into the discussion of radiation damage in the second part and recognises the important contribution that the study of irradiated metals has made to our general knowledge of defects. The wide coverage of this book includes developments in our understanding of collision cascades, of the clustering of point defects and the behaviour of impurities induced by irradiation.

The Defocusing Nonlinear Schr?dinger Equation
The Defocusing Nonlinear Schr?dinger Equation

Author: Panayotis G. Kevrekidis

Publisher: SIAM

Published: 2015-08-04

Total Pages: 437

ISBN-13: 1611973945

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Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear Schr?dinger-type models that arise therein.?The Defocusing Nonlinear Schr?dinger Equation?is a broad study of nonlinear?excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear Schr?dinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.

Soliton Management in Periodic Systems
Soliton Management in Periodic Systems

Author: Boris A. Malomed

Publisher: Springer Science & Business Media

Published: 2006-07-06

Total Pages: 188

ISBN-13: 0387293345

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During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.

The Discrete Nonlinear Schrödinger Equation
The Discrete Nonlinear Schrödinger Equation

Author: Panayotis G. Kevrekidis

Publisher: Springer Science & Business Media

Published: 2009-07-07

Total Pages: 417

ISBN-13: 3540891994

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This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.

New Trends For Hamiltonian Systems And Celestial Mechanics
New Trends For Hamiltonian Systems And Celestial Mechanics

Author: Lacomba Ernesto A

Publisher: #N/A

Published: 1996-07-03

Total Pages: 408

ISBN-13: 9814547905

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This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. Their relationship to several aspects of topology, mechanics and dynamical systems in general are also emphasized. The papers presented are an outgrowth of the lectures that took place during the “International Symposium on Hamiltonian Systems and Celestial Mechanics ”, which was held at Cocoyoc (Morelos, México) from September 13 to 17, 1994.

Vortices in Bose-Einstein Condensates
Vortices in Bose-Einstein Condensates

Author: Amandine Aftalion

Publisher: Springer Science & Business Media

Published: 2007-10-14

Total Pages: 212

ISBN-13: 081764492X

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This book provides an up-to-date approach to the diagnosis and management of endocarditis based on a critical analysis of the recent studies. It is the only up-to-date clinically oriented textbook available on this subject. The book is structured in a format that is easy to follow, clinically relevant and evidence based. The author has a special interest in the application of ultrasound in the study of cardiac structure and function.

Soliton Theory
Soliton Theory

Author: Allan P. Fordy

Publisher: Manchester University Press

Published: 1990

Total Pages: 472

ISBN-13: 9780719014918

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A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.