Skip to content
Register Sign in Wishlist
The Direct Method in Soliton Theory

The Direct Method in Soliton Theory

Part of Cambridge Tracts in Mathematics

  • Date Published: September 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521836609

Hardback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

Please email academicmarketing@cambridge.edu.au to enquire about an inspection copy of this book

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions that avoided the use of the heavy machinery of the inverse scattering transform and was successfully used to construct the multisoliton solutions of many new equations. In the 1980s the deeper significance of the tools used in this method - Hirota derivatives and the bilinear form - came to be understood as a key ingredient in Sato's theory and the connections with affine Lie algebras. The main part of this book concerns the more modern version of the method in which solutions are expressed in the form of determinants and pfaffians. While maintaining the original philosophy of using relatively simple mathematics, it has, nevertheless, been influenced by the deeper understanding that came out of the work of the Kyoto school. The book will be essential for all those working in soliton theory.

    • Only introduction devoted to this method; author is the inventor
    • Review articles don't adopt the modern view explained here
    • Written using only relatively simple mathematics
    Read more

    Reviews & endorsements

    'Overall, the book under review is a concise and essentially self-contained book, written by one of the leading researchers associated with the development of soliton theory … provides an interesting insight into the development of a straight forward method for obtaining exact solutions for wide classes of nonlinear equations.' Peter Clarkson, University of Kent

    ' … a nice example of a mathematical writing that can be read at nearly normal pace, which is extremely rare nowadays.' Zentralblatt MATH

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: September 2004
    • format: Hardback
    • isbn: 9780521836609
    • length: 214 pages
    • dimensions: 229 x 152 x 13 mm
    • weight: 0.46kg
    • availability: Available
  • Table of Contents

    Preface
    Foreword
    1. Bilinearization of soliton equations
    2. Determinants and pfaffians
    3. Structure of soliton equations
    4. Bäcklund transformations
    Afterword
    References
    Index.

  • Author

    Ryogo Hirota, Waseda University, Japan

    Editors and translators

    Atsushi Nagai, Osaka City University, Japan

    Jon Nimmo, University of Glasgow

    Claire Gilson, University of Glasgow

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

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
Please note that this file is password protected. You will be asked to input your password on the next screen.

» 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 ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

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.

×
Please fill in the required fields in your feedback submission.
×