This is the only book at this level to embrace a universal approach to three major developments in classical physics, namely nonlinear waves, solitons and chaos. A comprehensive treatment of instabilities is followed by a study of the nonlinear structures arising from them. 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 remainder of the book, for example the treatment of cylindrical solitons, is more advanced and will have a wide appeal to specialists in a number of branches of physics. Each chapter concludes with a set of problems. This very topical text could be used by students taking courses in nonlinear aspects of physics. 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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Book Description
Editorial Reviews
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."..an important contribution to the study of nonlinear waves in that it is a comprehensive summary of the entire area from integrable systems through chaos." David J. Kaup, Mathematical Reviews
Book Description
This is the only book at this level to embrace a universal approach to three major developments in classical physics: nonlinear waves, solitons and chaos. A comprehensive treatment of instabilities is followed by a study of the nonlinear structures arising from them including coherent entities like nonlinear waves and solitons, and incoherent structures associated with chaos.
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Most Helpful Customer Reviews
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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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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