Last edited by Yozshubar
Saturday, May 16, 2020 | History

8 edition of Linear and nonlinear waves found in the catalog.

Linear and nonlinear waves

by G. B. Whitham

  • 82 Want to read
  • 14 Currently reading

Published by Wiley in New York .
Written in English

    Subjects:
  • Wave-motion, Theory of.,
  • Waves.

  • Edition Notes

    Statement[by] G. B. Whitham.
    SeriesPure and applied mathematics
    Classifications
    LC ClassificationsQA927 .W48
    The Physical Object
    Paginationxvi, 636 p.
    Number of Pages636
    ID Numbers
    Open LibraryOL5042595M
    ISBN 100471940909
    LC Control Number74002070

    '[This] is an up-to-date teaching resource that will prepare students for work in nonlinear waves as the subject appears today in applications, especially in nonlinear optics. It is clear that Mark Ablowitz's book is a welcome addition to the literature that will be particularly useful to anyone planning a course on nonlinear waves.'Cited by: The Generalization of Parallel Transport for Linear mConnections. Bibliography. A VARIATIONAL FORMALISM. nonlinear waves, and control theory, Volume 1 Page 18 - Yet this is what the reader of a book on mathematics would do if he were a logician only. To understand the game is wholly another matter; it is to know why.

    characteristics and shock waves. These are meant to be introductory and are abbreviated versions of topics in my book “Linear and nonlinear waves”, which can be consulted for amplification. The main content is an entirely new presentation. It is on water waves, with special emphasis on old and new results for waves on a sloping beach. Linear and Nonlinear Waves (Pure and Applied Mathematics) | Gerald Beresford Whitham | download | B–OK. Download books for free. Find books.

    This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. Whitham's book on linear (e.g., sine waves) and nonlinear (e.g., solitons and shocks) waves is a very thorough and well written narrative of the various manifestations of the fluctuations we call waves. Whether a beginning graduate student or researcher, the book provides very insightful and useful derivations combined with physically /5(7).


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Linear and nonlinear waves by G. B. Whitham Download PDF EPUB FB2

Whitham's book on linear (e.g., sine waves) and nonlinear (e.g., solitons and shocks) waves is a very thorough and well written narrative of the various manifestations of the fluctuations we call waves. Whether a beginning graduate student or researcher, the book provides very insightful and useful derivations combined with physically Cited by: About this book Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves.

It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves.

Whitham's book on linear (e.g., sine waves) and nonlinear (e.g., solitons and shocks) waves is a very thorough and well written narrative of the various manifestations of /5.

Linear and Nonlinear Waves (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts series) by G. Whitham. Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared Linear and nonlinear waves bookdue to the increased use of nonlinear waves.

G.B. Whitham Linear and Nonlinear Waves John Wiley & Sons Inc. Acrobat 7 Pdf Mb. Scanned by artmisa using Canon DRC + flatbed. Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves.

It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific. From Linear and Nonlinear Waves in Nanodisordered Photorefractive Ferroelectrics.

Author: Giuseppe Di Domenico; Publisher: Springer ISBN: Category: Science Page: View: DOWNLOAD NOW» This book reports new findings in the fields of nonlinear optics, quantum optics and optical microscopy. Linear and Nonlinear Waves book. Read reviews from world’s largest community for readers.

Now in an accessible paperback edition, this classic work is ju /5(7). Get this from a library. Linear and nonlinear waves. [G B Whitham] -- This work is an account of the underlying mathematical theory with emphasis on the unifying ideas and the main points that illuminate the behaviour of waves.

The book is divided into two parts. give an introduction to various kinds of PDE describing waves. In particular we will focus on nonlinear equations. In this chapter we introduce some basic concepts and give an overview of the contents of the lecture notes.

Linear waves Sinusoidal waves The first encounter with the mathematical theory of waves is usually with cosine File Size: 1MB. Linear and Nonlinear Waves by G. Whitham,available at Book Depository with free delivery worldwide/5(7).

The re-issue of this excellent book on linear and nonlinear waves in paperback form is to be welcomed. (Zentralblatt Math, VolumeNo 15, ) User-contributed reviews. In fluid dynamics, Airy wave theory (often referred to as linear wave theory) gives a linearised description of the propagation of gravity waves on the surface of a homogeneous fluid layer.

The theory assumes that the fluid layer has a uniform mean depth, and that the fluid flow is inviscid, incompressible and theory was first published, in correct form, by George. Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes.

Large amplitudes require using full systems of governing equations of fluid dynamics (for sound waves in liquids and gases) and elasticity (for sound waves in solids).

These equations are generally nonlinear, and their traditional linearization is no longer possible. Non-Linear Waves in Dispersive Media introduces the theory behind such topic as the gravitational waves on water surfaces.

Some limiting cases of the theory, wherein proof of an asymptotic class is necessary and generated, are also provided. The first section of the book discusses the notion of linear approximation.

Conversely, the nonlinear waves are less steep than their linear counterparts near z = km, which is λ z /4 above the mean height of the topography. Despite these modest differences in the shape of the streamlines in the linear and nonlinear waves, the. Linear and Nonlinear Waves - Ebook written by G.

Whitham. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Linear and Nonlinear Waves.

Linear waves are modeled by PDEs that are linear in the dependent variable, u, and its first and higher derivatives, if they exist. The linear wa ve equation. Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves.

It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in.

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.

Linear systems are easy to think about – at least when compared to nonlinear systems! A great many systems are approximately linear if we look at them the right way.

Linear systems give rise to a rich ground of understanding and are natural to think about and design, even when the underlying physics is nonlinear.The Dispersion Relation for Water Waves. Dispersion from an Instantaneous Point Source.

Waves on a Steady Stream. Ship Waves. Capillary Waves on Thin Sheets. Waves in a Rotating Fluid. Waves in Stratified Fluids. Crystal Optics.Internet Archive BookReader Linear and Nonlinear Waves.