Nonlinear Waves And Solitons On Contours And Closed Surfaces
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Author |
: Andrei Ludu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 498 |
Release |
: 2012-01-15 |
ISBN-10 |
: 9783642228940 |
ISBN-13 |
: 3642228941 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Nonlinear Waves and Solitons on Contours and Closed Surfaces by : Andrei Ludu
This volume 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. This new edition has been thoroughly revised, expanded and updated.
Author |
: Eryk Infeld |
Publisher |
: Cambridge University Press |
Total Pages |
: 416 |
Release |
: 2000-07-13 |
ISBN-10 |
: 0521635578 |
ISBN-13 |
: 9780521635578 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Nonlinear Waves, Solitons and Chaos by : Eryk Infeld
The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Author |
: Nizar Abcha |
Publisher |
: Springer |
Total Pages |
: 238 |
Release |
: 2018-04-20 |
ISBN-10 |
: 9783319781938 |
ISBN-13 |
: 3319781936 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Nonlinear Waves and Pattern Dynamics by : Nizar Abcha
This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in particular, about the current state-of-the art and new results in: Nonlinear water waves: resonance, solitons, focusing, Bose-Einstein condensation, as well as and their relevance for the sea environment (sea-wind interaction, sand bed forms, fiber clustering) Pattern formation in non-equilibrium media: soap films, chimera patterns in oscillating media, viscoelastic Couette-Taylor flow, flow in the wake behind a heated cylinder, other pattern formation. The editors and authors dedicate this book to the memory of Alexander Ezersky, Professor of Fluid Mechanics at the University of Caen Normandie (France) from September 2007 to July 2016. Before 2007, he had served as a Senior Scientist at the Institute of Applied Physics of the Russian Academy of Sciences in Nizhny Novgorod (Russia). The chapters have been written by leading scientists in Nonlinear Physics, and the topics chosen so as to cover all the fields to which Prof. Ezersky himself contributed, by means of experimental, theoretical and numerical approaches. The volume will appeal to advanced students and researchers studying nonlinear waves and pattern dynamics, as well as other scientists interested in their applications in various natural media.
Author |
: Michel Remoissenet |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 353 |
Release |
: 2013-03-09 |
ISBN-10 |
: 9783662037904 |
ISBN-13 |
: 3662037904 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Waves Called Solitons by : Michel Remoissenet
Written for an interdisciplinary readership, this book is a practical guide to the fascinating world of solitons. The author approaches the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. This third edition has been thoroughly revised and updated.
Author |
: A. Jeffrey |
Publisher |
: Springer |
Total Pages |
: 385 |
Release |
: 2014-05-04 |
ISBN-10 |
: 9783709124444 |
ISBN-13 |
: 3709124441 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Nonlinear Waves in Solids by : A. Jeffrey
Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.
Author |
: Elena Tobisch |
Publisher |
: Springer |
Total Pages |
: 309 |
Release |
: 2015-08-19 |
ISBN-10 |
: 9783319206905 |
ISBN-13 |
: 3319206907 |
Rating |
: 4/5 (05 Downloads) |
Synopsis New Approaches to Nonlinear Waves by : Elena Tobisch
The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima, KdV-type, Klein-Gordon, NLS-type, Serre, Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics.
Author |
: A.D. Boardman |
Publisher |
: Springer |
Total Pages |
: 520 |
Release |
: 1990 |
ISBN-10 |
: UCAL:B4375798 |
ISBN-13 |
: |
Rating |
: 4/5 (98 Downloads) |
Synopsis Nonlinear Waves in Solid State Physics by : A.D. Boardman
Proceedings of a NATO ASI held in Erice, Sicily, Italy, July 1--15, 1989
Author |
: S.S. Shen |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 335 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789401121026 |
ISBN-13 |
: 9401121028 |
Rating |
: 4/5 (26 Downloads) |
Synopsis A Course on Nonlinear Waves by : S.S. Shen
The aim of this book is to give a self-contained introduction to the mathe matical analysis and physical explanations of some basic nonlinear wave phe nomena. This volume grew out of lecture notes for graduate courf;!es which I gave at the University of Alberta, the University of Saskatchewan, ·and Texas A&M University. As an introduction it is not intended to be exhaustive iQ its choice of material, but rather to convey to interested readers a basic; yet practical, methodology as well as some of the more important results obtained since the 1950's. Although the primary purpose of this volume is to serve as a textbook, it should be useful to anyone who wishes to understand or conduct research into nonlinear waves. Here, for the first time, materials on X-ray crystallography and the forced Korteweg-de Vries equation are incorporated naturally into a textbook on non linear waves. Another characteristic feature of the book is the inclusion of four symbolic calculation programs written in MATHEMATICA. They emphasize outcomes rather than numerical methods and provide certain symbolic and nu merical results related to solitons. Requiring only one or two commands to run, these programs have user-friendly interfaces. For example, to get the explicit expression of the 2-soliton of the Korteweg-de Vries equation, one only needs to type in soliton[2] when using the program solipac.m.
Author |
: Lokenath Debnath |
Publisher |
: CUP Archive |
Total Pages |
: 376 |
Release |
: 1983-12-30 |
ISBN-10 |
: 052125468X |
ISBN-13 |
: 9780521254687 |
Rating |
: 4/5 (8X Downloads) |
Synopsis Nonlinear Waves by : Lokenath Debnath
The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.
Author |
: Lokenath Debnath |
Publisher |
: Pitman Advanced Publishing Program |
Total Pages |
: 376 |
Release |
: 1984 |
ISBN-10 |
: 0273086480 |
ISBN-13 |
: 9780273086482 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Advances in Nonlinear Waves by : Lokenath Debnath