Download Full eBooks in PDF
Nonlinear Waves Solitons And Chaos Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Nonlinear Waves Solitons And Chaos book. This book definitely worth reading, it is an incredibly well-written.
Author : Eryk Infeld,George Rowlands
Publisher : Cambridge University Press
Page : 416 pages
File Size : 49,5 Mb
Release : 2000-07-13
Category : Mathematics
ISBN : 0521635578
The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Author : Stephen Nettel
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 50,8 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662053171
This textbook gives a detailed explanation of waves and oscillations in classical physics. These classical phenomena are dealt with at a more advanced level than is customary for second-year courses. All aspects of classical wave physics are presented, including the mathematical and physical basis needed for extended understanding. Finally several chapters are devoted to important topics in current wave physics. Special attention is given to nonlinear waves, solitons, chaotic behavior and associated phenomena. The new edition contains improvements such as full development of Greens functions, a broadening of the treatment of wave mechanics and a closer integration with classical mechanics, plus more examples and problems.
Author : Stephen Nettel
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 51,5 Mb
Release : 2008-11-21
Category : Science
ISBN : 9783540879084
This textbook gives a detailed explanation of waves and oscillations in classical physics. These classical phenomena are dealt with at a more advanced level than is customary for second-year courses. All aspects of classical wave physics are presented, including the mathematical and physical basis needed for extended understanding. Finally several chapters are devoted to important topics in current wave physics. Special attention is given to nonlinear waves, solitons, chaotic behavior and associated phenomena. The new edition contains improvements such as full development of Greens functions, a broadening of the treatment of wave mechanics and a closer integration with classical mechanics, plus more examples and problems.
Author : Andrei Ludu
Publisher : Springer Nature
Page : 583 pages
File Size : 51,5 Mb
Release : 2022-11-04
Category : Science
ISBN : 9783031146411
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.
Author : Angela Slavova,Petar Radoev Popivanov
Publisher : World Scientific Publishing
Page : 208 pages
File Size : 53,9 Mb
Release : 2018-11-16
Category : Mathematics
ISBN : 9789813271623
This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used.This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics and, quantum mechanics.
Author : Christopher W. Curtis,Anton Dzhamay,Willy A. Hereman,Barbara Prinari
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 42,8 Mb
Release : 2015-03-26
Category : Mathematics
ISBN : 9781470410506
This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.
Author : Stephen Nettel
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 45,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662028254
This is a text for the third semester of undergraduate physics for students in accel erated programs who typicaHy are preparing for advanced degrees in science or engineering. The third semester is often the only opportunity for physics depart ments to present to those of these students who are not physics majors a coherent background in the physics of waves required later for confident handling of applied problems, especially applications based on quantum mechanics. Physics is an integrated subject. It is often found that the going gets easier as one goes deeper, learning the mathematical connections tying together the vari ous phenomena. Even so, the steps that took us from classical wave physics to Heisenberg's "Physical Principles of Quantum Theory" were, as a matter of his tory, harder to take than later steps dealing with detailed applications. With these considerations in mind, the classical physics of oscillations and waves is devel oped here at a more advanced mathematical level than is customary in second year courses. This is done to explain the classical phenomena, but also to provide background for the introductory wave mechanics, leading to a logical integration of the latter subject into the presentation. The concluding chapters on nonlinear waves, solitons, and chaos broaden the previously established concepts of wave behavior, while introducing the reader to important topics in current wave physics.
Author : Marcelo Anile,P Pantano,G Russo,J Hunter
Publisher : CRC Press
Page : 268 pages
File Size : 55,7 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781000447583
Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.
Author : Thomas J. Bridges
Publisher : Cambridge University Press
Page : 239 pages
File Size : 49,8 Mb
Release : 2017-07-03
Category : Mathematics
ISBN : 9781107188846
Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.
Author : Mark J. Ablowitz
Publisher : Cambridge University Press
Page : 363 pages
File Size : 52,6 Mb
Release : 2011-09-08
Category : Mathematics
ISBN : 9781139503488
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.
Author : Gérard A. Maugin
Publisher : Unknown
Page : 328 pages
File Size : 49,6 Mb
Release : 1999
Category : Mathematics
ISBN : 0198534841
The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.
Author : Vladimir Nekorkin,M. G. Velarde
Publisher : Springer
Page : 359 pages
File Size : 50,6 Mb
Release : 2012-08-17
Category : Science
ISBN : 3642627250
In this book, the authors deal with basic concepts and models, with methodologies for studying the existence and stability of motions, understanding the mechanisms of formation of patterns and waves, their propagation and interactions in active lattice systems, and about how much cooperation or competition between order and chaos is crucial for synergetic behavior and evolution.
Author : S.S. Shen
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401121026
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 : M. Toda
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 40,8 Mb
Release : 1989-11-30
Category : Mathematics
ISBN : 079230442X
' it is certainly a beautiful presentation, very well adapted to teaching beginners. I am sure this book will be successful.' Inverse Problems, 1990
Author : A. V. Gaponov-Grekhov,M. I. Rabinovich
Publisher : Unknown
Page : 216 pages
File Size : 41,8 Mb
Release : 1992
Category : Chaotic behavior in systems
ISBN : UCSD:31822015233554