This revised and updated second edition of a highly successful text embraces a universal approach to three major developments in classical physics: namely, nonlinear waves, solitons, and chaos. The authors include new material on biology and laser theory, and go on to discuss important recent developments such as soliton metamorphosis. They also offer a new section on a direct method to study transverse instabilities of pulse-like structures. A comprehensive treatment of basic plasma and fluid configurations and instabilities is followed by a study of the relevant nonlinear structures. Additional key features comprise color illustrations of soliton dynamics and end-of-chapter problems. In general, it will be of value to final year undergraduates and beginning graduate students studying fluid dynamics, plasma physics and applied mathematics.
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From reviews of the first edition: ' ... as clear an introduction to nonlinear waves and solitons as one may find.' Appl. Mech. Rev.
' ... highly recommended as a brief introduction to these important developments in classical physics ...' Physics in Canada
' ... an important contribution to the study of nonlinear waves ...' Math. Rev.
' ... highly recommended as a brief introduction to these important developments in classical physics ...' Physics in Canada
' ... an important contribution to the study of nonlinear waves ...' Math. Rev.
Book Description
This revised and updated second edition of a highly successful book is the only text at this level to embrace a universal approach to three major developments in classical physics; namely nonlinear waves, solitons and chaos. The authors now include new material on biology and laser theory, and go on to discuss important recent developments such as soliton metamorphosis. In general, it will be of value to final year undergraduates and beginning graduate students studying fluid dynamics, plasma physics and applied mathematics.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
I love this book,
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This review is from: Nonlinear Waves, Solitons and Chaos (Paperback)
Solitons, are cool. Modeling them is hard, but definitely worth it. They're everywhere. This book has much to teach. Great physics classic.
5 of 8 people found the following review helpful:
1.0 out of 5 stars
Obtuse and opaque tome,
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This review is from: Nonlinear Waves, Solitons and Chaos (Paperback)
The main thrust of this textbook is soliton theory and examples in plasma physics. There is some additional material borrowed from fluid dynamics, but the flavor is still plasmas. This text is very analytic. The derivations are often hard or impossible to follow, and the authors seem to assume general familiarity with plasma physics. I don't have that familiarity, so I found the choice of topics covered and the ensuing theory ad hoc and unmotivated. This is the kind of text where you can spend an enormous amount of time grinding through it, and at the end of the day come away with very litte applicable knowledge.
9 of 22 people found the following review helpful:
5.0 out of 5 stars
Chaos is for everyone,
By Philip Wade (Warwick, England) - See all my reviews
This review is from: Nonlinear Waves, Solitons and Chaos (Paperback)
This book delves far beyond the capabilities of a non-physicist such as myself and is not for everyone. However, I have had a regular tennis game for many years with co-author Professor George Rowlnds of Warwick University (UK). Over beer afterwards, he has often expounded on the importance of choas theory in the real world. I doubt but that a handful of people have the expertise to write a proper review of this book but, as none have done so, I offer this as a poor replacement. Your round, George!
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Inside This Book
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First Sentence:
It has been stressed in the last chapter that waves can propagate in many distinct types of media. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cylindrical solitons, spherical solitons, basic nonlinear structure, ion acoustic solitons, nonlinear ion acoustic waves, soliton limit, perpendicular perturbations, uniform wavetrain, soliton behaviour, line soliton, one soliton solution, soliton experiments, warm plasma, interacting solitons, positive dispersion, phase plane analysis, water surface waves, soliton solutions, conserved densities, tangent bifurcation, soliton collisions, envelope solitons, plasma problem, inverse scattering method, cnoidal wave Key Phrases - Capitalized Phrases (CAPs): (learn more)
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It has been stressed in the last chapter that waves can propagate in many distinct types of media. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cylindrical solitons, spherical solitons, basic nonlinear structure, ion acoustic solitons, nonlinear ion acoustic waves, soliton limit, perpendicular perturbations, uniform wavetrain, soliton behaviour, line soliton, one soliton solution, soliton experiments, warm plasma, interacting solitons, positive dispersion, phase plane analysis, water surface waves, soliton solutions, conserved densities, tangent bifurcation, soliton collisions, envelope solitons, plasma problem, inverse scattering method, cnoidal wave Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 2
books:
28
books
cite this book:
See all 28 books citing this book
- Non-Linear Phenomena in Science and Engineering (Ellis Horwood Series in Physics and Its Applications) by George Rowlands in Front Matter
- Plasmas and Controlled Fusion by David J. Rose in Back Matter
- Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Robert Hilborn on page 488, and Back Matter
- Physics of Solitons by Thierry Dauxois in Back Matter
- Nonlinear Waves in Dispersive and Dissipative Systems (Monographs and Surveys in Pure and Applied Mathematics) by Sergiy Korsunskyi in Back Matter
- Beam Shaping and Control with Nonlinear Optics (NATO Science Series B: Physics) by F. Kajzar on page 286
- A Modern Introduction to the Mathematical Theory of Water Waves (Cambridge Texts in Applied Mathematics) by R. S. Johnson in Back Matter
See all 28 books citing this book
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