Solitons
An Introduction
2nd Edition
Part of Cambridge Texts in Applied Mathematics
- Authors:
- P. G. Drazin
- R. S. Johnson
- Date Published: February 1989
- availability: Available
- format: Paperback
- isbn: 9780521336550
-
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 Sturm–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.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: February 1989
- format: Paperback
- isbn: 9780521336550
- length: 240 pages
- dimensions: 229 x 152 x 14 mm
- weight: 0.36kg
- availability: Available
Table of Contents
Preface
1. The Kortewag–de Vries equation
2. Elementary solutions of the Korteweg–de Vries equation
3. The scattering and inverse scattering problems
4. The initial-value problem for the Korteweg–de Vries equation
5. Further properties of the Korteweg–de Vries equation
6. More general inverse methods
7. The Painlevé property, perturbations and numerical methods
8. Epilogue
Answers and hints
Bibliography and author index
Motion picture index
Subject index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×