2 edition of **Nonlinear Waves and Dissipative Effects (Pitman Research Notes in Mathematics Ser)** found in the catalog.

Nonlinear Waves and Dissipative Effects (Pitman Research Notes in Mathematics Ser)

D. Fusco

- 367 Want to read
- 0 Currently reading

Published
**January 1992**
by Longman Publishing Group
.

Written in English

- General,
- Science

The Physical Object | |
---|---|

Format | Paperback |

ID Numbers | |

Open Library | OL10295005M |

ISBN 10 | 0470218266 |

ISBN 10 | 9780470218266 |

OCLC/WorldCa | 232589237 |

Nonlinear Alfvén wave trains in resistive and viscous magnetohydrodynamics plasmas are investigated. In weakly dissipative one-dimensional systems the inclusion of these effects leads to dissipative damping of Alfvén waves and heating of the plasma. Experiments and theory have rapidly progressed on nonlinear optical extreme waves, showing that guided wave nonlinear optics and fiber lasers provide a relatively simple, accessible and controllable test bed for the observations and accurate statistical studies of extreme wave phenomena that obey the same universal rules, which apply to a large ensemble of different .

Unfortunately, this book can't be printed from the OpenBook. Visit to get more information about this book, to buy it in print, or to download it as a free PDF. This book will provide insight into the principles and applications of nonlinear effects in fibers for students, researchers, and developers who have a basic understanding of electromagnetic theory under their belts. It will explore the physics, limitations, applications, and research results surrounding nonlinear effects in fiber optics.

Nonlinear Phenomena in Mathematical Sciences The methods use simple ideas involving a dissipative condition on the nonlinear operator generated by the right-hand side of the nonlinear FDE. The ideas developed are sketched for a specific class of approximations. This chapter describes direct computer simulation of nonlinear waves in. The conclusion is that finite wavenumber effects are not very important, and that, unless the waves can draw energy from the external flow, the waves are dissipated. This is a well-written chapter that puts the problem in context and presents the subsequent analysis clearly. 7) Dissipative Nonlinear Strain Waves in Solids, by v.

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COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

Nonlinear fiber optics is a specialized part of fiber optics dealing with optical nonlinearities and their applications. As fiber-optic communication systems have become more advanced and complex, the nonlinear effects in optical fibers have increased in importance, as they adversely affect system : Mario F.

Ferreira. A model is presented for the characterization of dissipative effects on highly nonlinear waves in one-dimensional dry granular media. The model includes three Author: Lautaro Vergara. Nonlinear Effects in Optical Fibers (Wiley-OSA Series on Nonlinear Waves and Dissipative Effects book Communication Book 3) - Kindle edition by Ferreira, Mario F.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Nonlinear Effects in Optical Fibers (Wiley-OSA Series on Optical Communication Book 3).Price: $ @article{osti_, title = {Coherent non-linear interaction of waves in plasmas}, author = {Weiland, J and Wilhelmsson, H}, abstractNote = {The following chapters are included: (1) simple nonlinear examples, (2) coupled mode theory, (3) field energy in dissipative media, (4) formulation of nonlinear wave equations in terms of nonlinear.

WC involves modifying the discretized wave equation by adding a nonlinear term to generate traveling “dissipative solitary” waves that are stable to perturbations due to numerical effects.

The aim of publishing this book is the further development of the concept of dissipative solitons, which has been in the air for at least the last decade and a half. Since the development of classical soliton theory in the s, the theory of these “nonlinear modes” of Brand: Springer-Verlag Berlin Heidelberg.

Get this from a library. Selected Topics in Nonlinear Wave Mechanics. [C I Christov; A Guran] -- This comprehensive reference text gives an overview of the current state of nonlinear wave mechanics in both elastic and fluid media. Consisting of. Examples of these are coherent entities like nonlinear waves and solitons, as well as the incoherent structures associated with chaos.

The first part of the book is a self-contained introduction to general topics associated with nonlinear physics, and would be accessible to final-year undergraduates and beginning postgraduate students.

The following chapters are included: (1) simple nonlinear examples, (2) coupled mode theory, (3) field energy in dissipative media, (4) formulation of nonlinear wave equations in terms of nonlinear current, (5) three-wave interactions, (6) energy relations, (7) negative energy waves, (8) coupled-mode equations, (9) stability criteria and asymptotic behavior for a general system of three.

Nonlinear Waves in Elastic Media explores the theoretical results of one-dimensional nonlinear waves, including shock waves, in elastic media. It is the first book to provide an in-depth and comprehensive presentation of the nonlinear wave theory while taking anisotropy effects into account.

The the. This book will provide insight into the principles and applications of nonlinear effects in fibers for students, researchers, and developers who have a basic understanding of electromagnetic theory under their belts. It will explore the physics, limitations, applications, and research results surrounding nonlinear effects in fiber optics.

In addition to communications, optical fibers are. Abstract. Strain wave propagation in nonlinearly elastic wave guides is considered. The general idea is how, starting from the first principles, to reduce the initial highly nonlinear elastic wave problem governed by coupled p.d.e.

to the only one “double dispersion” equation, describing longitudinal strain waves in a one-dimensional wave guide, e.g., in a by: For example, some aspects of the weather are seen to be chaotic, where simple changes in one part of the system produce complex effects throughout.

This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology. Some authors use the term nonlinear science for the study of nonlinear systems.

This. On the other hand, the diffusion of reactants plays a crucially important role in the propagation of chemical waves. At the nonlinear level, cubic conservative effects most typically represent self-focusing or self-defocusing of electromagnetic fields or matter waves, while dissipative cubic terms account for nonlinear losses, such as two.

By recirculating light in a nonlinear propagation medium, the nonlinear optical cavity allows for countless options of light transformation and manipulation. In passive media, optical bistability and frequency conversion are central figures.

In active media, laser light can be generated with versatile underlying dynamics. Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation.

Related Databases. which are prototype scalar nonlinear dissipative and dispersive equations, are shown to be fundamental to this study, even when quite general systems of equations are involved.

Effects of viscosity on water waves. Il Nuovo Cited by: Airy wave theory uses a potential flow (or velocity potential) approach to describe the motion of gravity waves on a fluid use of – inviscid and irrotational – potential flow in water waves is remarkably successful, given its failure to describe many other fluid flows where it is often essential to take viscosity, vorticity, turbulence and/or flow separation into account.

Abstract. In Section 1 the basic wave theory is briefly discussed with attention paid to the various types of waves and their velocities. Section 2 reviews the sources of nonlinearities from the viewpoint of mathematical models and gives some answers to the question about the use of Cited by: 3.

We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion.

We thereby propose a quantitatively accurate Cited by:. 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.This volume is devoted to the exciting topic of dissipative solitons, i.e. pulses or spatially localised waves in systems exhibiting gain and loss. Examples are laser systems, nonlinear resonators and optical transmission lines.

The physical principles and mathematical concepts are explained in a clear and concise way, suitable for students and young researchers.

Temporal and Spatiotemporal Effects 2. Nonlinear Pulse Propagation in Fiber 3. Computational Analysis, Design and Modeling of Dissipative and Conservative Systems 4. Dissipative Solitons, Rogue Waves and Ultra-short Pulse Modelling 5. Poling, Spatial and Periodic Nonlinear Effects 6.

Active and Dissipative Effects 7. All-Optical Devices and.