The Versatile Soliton

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Product Description

If you have not already heard about solitons, you will sooner or later
encounter them.
The soliton, a solitary wave impulse preserving its shape and
strikingly similar to a particle, is one of the most fascinating and
beautiful phenomena in the physics of nonlinear waves. In this
engaging book, the concept of the soliton is traced from the beginning
of the last century to modern times, with recent applications in
biology, oceanography, solid state physics, electronics, elementary
particle physics, and cosmology.
The main concepts and results of theoretical physics related to
solitons can be explained without using much mathematics. Indeed, on
the descriptive and historical level, only some knowledge of high
school physics and mathematics is needed. At a higher level, for
understanding the elementary theory of oscillations and waves, the
reader can intuit much from the numerous illustrations and perhaps
skip the formulas presented. But to appreciate the deep connections
in this book between apparently different and diverse phenomena and
ideas, the reader must be able to follow elementary mathematical
computations. Still more advanced mathematics is required for the
appendices.

The Versatile Soliton Review

The author of this lovely book writes about an important scientific problem - recognition of the importance of the soliton concept - in ways that will be of interest to both novices to nonlinear theory and those who are familiar with the underlying ideas. The latter will find much of value in the careful historical discussions, which make it clear that solitary-wave theory has been of interest to many scientists for the past century and a half, and in the references to Soviet and Russian contributions, which have been substantial. For those who come new to this subject, the Dr. Filippov explains all of the key ideas in clear English, using simple physical examples and metaphors. This book should be on the shelves of all who would better understand the many roles that soliton theory now plays in optical communications, superconductive electronics, elementary-particle theory, solid-state physics, and - last but not least - hydrodynamics, where the original Great Wave of Translation - studied in the middle of the nineteenth century by John Scott Russell provides a clear model for the tsunami that has recently devastated the rim of the Indian Ocean.

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