[PDF] Non Linear Wave Mechanics Download Full

Non linear Wave Mechanics PDF
Author: Louis de Broglie
Size: 80.34 MB
Format: PDF, Mobi
Category : Wave mechanics
Languages : un
Pages : 304
View: 1347

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Non Linear Wave Mechanics

by Louis de Broglie, Non Linear Wave Mechanics Books available in PDF, EPUB, Mobi Format. Download Non Linear Wave Mechanics book, Pt. I. The basic ideas and the standard purely probabilistic interpretation of wave mechanics. The basic ideas of wave mechanics -- The Hamiltonian approach to wave mechanics (the analogy between analytical mechanics and geometrical optics) -- First principles relative to the probabilistic interpretation of [psi] waves -- A general view of the probabilistic interpretation of wave mechanics -- Various aspects of the probabilistic interpretation of wave mechanics -- Objections to the purely probabilistic interpretation of wave mechanics.

[PDF] Selected Topics In Nonlinear Wave Mechanics Download Full

Selected Topics in Nonlinear Wave Mechanics PDF
Author: C.I. Christov
Publisher: Springer Science & Business Media
ISBN: 1461200954
Size: 51.22 MB
Format: PDF
Category : Mathematics
Languages : un
Pages : 263
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Selected Topics In Nonlinear Wave Mechanics

by C.I. Christov, Selected Topics In Nonlinear Wave Mechanics Books available in PDF, EPUB, Mobi Format. Download Selected Topics In Nonlinear Wave Mechanics book, This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.

[PDF] Nonlinear Waves In Solids Download Full

Nonlinear Waves in Solids PDF
Author: A. Jeffrey
Publisher: Springer
ISBN: 3709124441
Size: 59.76 MB
Format: PDF, Docs
Category : Technology & Engineering
Languages : un
Pages : 382
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Nonlinear Waves In Solids

by A. Jeffrey, Nonlinear Waves In Solids Books available in PDF, EPUB, Mobi Format. Download Nonlinear Waves In Solids book, 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.

[PDF] Nonlinear Quantum Mechanics And Its Applications Download Full

Nonlinear Quantum Mechanics and Its Applications PDF
Author: Xiao-Feng Pang
ISBN: 9781634634632
Size: 30.44 MB
Format: PDF, ePub, Mobi
Category :
Languages : en
Pages : 476
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Nonlinear Quantum Mechanics And Its Applications

by Xiao-Feng Pang, Nonlinear Quantum Mechanics And Its Applications Books available in PDF, EPUB, Mobi Format. Download Nonlinear Quantum Mechanics And Its Applications book, This book describes complete nonlinear quantum mechanics, in which the fundamental and necessity theoretical principle and wave-corpuscle duality of microscopic particles were the foundation of this principle and its experimental evidences, the mechanisms of generation of the nonlinear interactions and its effects, as well as the methods solving nonlinear quantum mechanical problems, its distinctions with linear quantum mechanics and early nonlinear quantum mechanical idea and models, the completeness and correctness and universality of new theory as well as its applications in different systems containing polymers, physical and biological systems, which are exhibited in this book. Plenty of interesting results of these systems and a large number of novel properties of microscopic particles including the electron, proton, phonon, photon, exciton, polaron, magnon and Boson involving their localizations and classical features are stated in detail. This book is intended for researchers, teachers, graduate students, and upper level undergraduate students.

[PDF] New Approaches To Nonlinear Waves Download Full

New Approaches to Nonlinear Waves PDF
Author: Elena Tobisch
Publisher: Springer
ISBN: 3319206907
Size: 52.62 MB
Format: PDF, ePub, Docs
Category : Science
Languages : un
Pages : 298
View: 1440

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New Approaches To Nonlinear Waves

by Elena Tobisch, New Approaches To Nonlinear Waves Books available in PDF, EPUB, Mobi Format. Download New Approaches To Nonlinear Waves book, 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.

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