Nonlinear Waves in Bounded Media

The Mathematics of Resonance

By: Brian R Seymour, Michael P Mortell

Write A Review

eText | 18 January 2017

At a Glance

Format
ePUB

eText

$167.20

or 4 interest-free payments of $41.80 with

Instant online reading in your Booktopia eTextbook Library *

Read online on

Desktop

Tablet

Mobile

Not downloadable to your eReader or an app

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent. It involves both standing (unforced) waves and resonant oscillations due to external periodic forcing. The waves are both hyperbolic and dispersive. To achieve this aim, the book develops the necessary understanding of linear waves and the mathematical techniques of nonlinear waves before dealing with nonlinear waves in bounded media. The examples used come mainly from gas dynamics, water waves and viscoelastic waves.

Contents:Introduction;Physical Examples: Basic Equations;Classical Linear Solutions;Linear Physical Examples;Linear Waves in Stratified Media;Kinematic and Simple Waves;Nonlinear Geometric Acoustics;Bounded Media;Nonlinear Resonance: Shocked Solutions;Finite Rate Oscillations;The Evolution of Resonant Oscillations;Shaped and Stratified Resonators;Resonant Sloshing in a Shallow Tank;
Readership: Advanced undergraduate and graduate students, researchers and practitioners in the field of acoustics, fluid mechanics and applied physics.
Nonlinear Waves, Resonance, Sloshing, Chaos, Solitons, KdV Equation

The only book dealing with nonlinear waves in bounded media

Highlights the introduction and analysis of solutions of a nonlinear difference equation — the standard mapping — that connects shocked resonance to chaos

Introduces many concepts and publishes extensively in the literature of nonlinear waves and nonlinear resonance