Solitons

An Introduction

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Paperback | 10 April 1989 | Edition Number 2

At a Glance

Paperback
240 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 1.4

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This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites (i.e., partial differential equations, calculus of variations, Fourier integrals, linear waves and Sturmâ"Liouville theory), and more advanced material is explained in the text with useful references to further reading given at the end of each chapter. Worked examples are frequently used to help the reader follow the various ideas, and the exercises at the end of each chapter not only contain applications but also test understanding. Answers, or hints to the solution, are given at the end of the book. Sections and exercises that contain more difficult material are indicated by asterisks.

Industry Reviews

"...should find an enthusiastic following, and the author is to be congratulated on a job well done." American Scientist "...a fine book, certainly the one that I would choose as the text for an introductory course on solitons." SIAM Review "All things considered, I cannot think of a clearer introduction to the subject from a mathematical point of view." Physics Today "...an excellent book, achieving its goals both concisely and comprehensively." John G. Harris, Applied Mechanics Review

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Applied Mathematics Science Physics Classical Mathematics Fluid Mechanics

Preface
The KortewagG++de Vries equation
Elementary solutions of the KortewegG++de Vries equation
The scattering and inverse scattering problems
The initial-value problem for the KortewegG++de Vries equation
Further properties of the KortewegG++de Vries equation
More general inverse methods
The Painlev+¼ property, perturbations and numerical methods
Epilogue
Answers and hints
Bibliography and author index
Motion picture index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

Solitons

An Introduction

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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