Nonlinear Waves

doi:10.1017/CBO9780511569500

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Contents

Frontmatter
pp i-ii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp iii-iv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface
pp v-viii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part I - Nonlinear Waves in Fluids
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - Towards the Analytic Description of Overturning Waves
pp 1-24
- By Michael S. Longuet-Higgins
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - The Korteweg-de Vries Equation and Related Problems in Water Wave Theory
pp 25-43
- By R. S. Johnson
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves
pp 44-68
- By R. Grlmshaw
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - Nonlinear Waves in a Channel
pp 69-83
- By M.C. Shen
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - Soliton Behaviour in Models of Baroclinic Instability
pp 84-99
- By Irene M. Moroz, John Brindley
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - Waves and Wave Groups in Deep Water
pp 100-115
- By Peter J. Bryant
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - Two-and Three-Wave Resonance
pp 116-132
- By Alex D. D. Craik
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part II - Nonlinear Waves in Plasmas
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - Nonlinear Electromagnetic Waves in Flowing Plasma
pp 133-161
- By N.E. Andreev, V. P. Silin, P. V. Silin
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - Superluminous Waves in Plasmas
pp 162-176
- By P.C. Clemmow
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field
pp 177-196
- By H. Okuda
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Solitons in Plasma Physics
pp 197-220
- By P.K. Shukla
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma
pp 221-244
- By R. J. Gribben
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part III - Solitons, Inverse Scattering Transform, and Nonlinear Waves in Physics
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - On the Inverse Scattering Transform in Two Spatial and One Temporal Dimensions
pp 245-267
- By A. S. Fokas
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - Linear Evolution Equations Associated with Isospectral Evolutions of Differential Operators
pp 268-284
- By Antonio Degasperis
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

15 - Inverse Scattering for the Matrix Schrö Equation with Non-Hermitian Potential
pp 285-297
- By Peter Schuur
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

16 - A General nth Order Spectral Transform
pp 298-307
- By P. J. Caudrey
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

17 - Recurrence Phenomena and the Number of Effective Degrees of Freedom in Nonlinear Wave Motions
pp 308-325
- By A. Thyagaraja
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

18 - Action-Angle Variables in the Statistical Mechanics of the Sine-Gordon Field
pp 326-355
- By R. K. Bullough, D.J. PILLING, J. Timonen
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Index
pp 356-360
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Nonlinear Waves

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-ii

Contents
pp iii-iv

Preface
pp v-viii

Part I - Nonlinear Waves in Fluids

1 - Towards the Analytic Description of Overturning Waves
pp 1-24

2 - The Korteweg-de Vries Equation and Related Problems in Water Wave Theory
pp 25-43

3 - Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves
pp 44-68

4 - Nonlinear Waves in a Channel
pp 69-83

5 - Soliton Behaviour in Models of Baroclinic Instability
pp 84-99

6 - Waves and Wave Groups in Deep Water
pp 100-115

7 - Two-and Three-Wave Resonance
pp 116-132

Part II - Nonlinear Waves in Plasmas

8 - Nonlinear Electromagnetic Waves in Flowing Plasma
pp 133-161

9 - Superluminous Waves in Plasmas
pp 162-176

10 - Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field
pp 177-196

11 - Solitons in Plasma Physics
pp 197-220

12 - A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma
pp 221-244

Part III - Solitons, Inverse Scattering Transform, and Nonlinear Waves in Physics

13 - On the Inverse Scattering Transform in Two Spatial and One Temporal Dimensions
pp 245-267

14 - Linear Evolution Equations Associated with Isospectral Evolutions of Differential Operators
pp 268-284

15 - Inverse Scattering for the Matrix Schrö Equation with Non-Hermitian Potential
pp 285-297

16 - A General nth Order Spectral Transform
pp 298-307

17 - Recurrence Phenomena and the Number of Effective Degrees of Freedom in Nonlinear Wave Motions
pp 308-325

18 - Action-Angle Variables in the Statistical Mechanics of the Sine-Gordon Field
pp 326-355

Index
pp 356-360

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Nonlinear Waves

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information