Nonlinear Waves, Solitons and Chaos

Nonlinear Waves, Solitons and Chaos

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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. A comprehensive treatment of basic plasma and fluid configurations and instabilities is followed by a study of the relevant nonlinear structures. Each chapter concludes with a set of problems. This text will be particularly valuable for 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.show more

Product details

  • Online resource
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • English
  • Revised
  • 2nd Revised edition
  • 99 b/w illus. 55 exercises
  • 1139171283
  • 9781139171281

Review quote

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.show more

Table of contents

1. Introduction; 2. Linear waves and instabilities in infinite media; 3. Convective and non-convective instabilities; group velocity in unstable media; 4. A first look at surface waves and instabilities; 5. Model equations for small amplitude waves and solitons; weakly nonlinear theory; 6. Exact methods for fully nonlinear waves and solitons; 7. Cartesian solitons in one and two space dimensions; 8. Evolution and stability of initially one-dimensional waves and solitons; 9. Cylindrical and spherical solitons in plasmas and other media; 10. Soliton metamorphosis; 11. Non-coherent phenonemena; Appendices; References.show more