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

The Direct Method in Soliton Theory

$131.00 (C)

Part of Cambridge Tracts in Mathematics

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

$ 131.00 (C)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
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 complex calculations of the inverse scattering transform. This analysis is essentially concerned with the more modern version of the method. Still maintaining the original philosophy of using relatively simple mathematics, the method has, nevertheless, been influenced by the work of the Kyoto school, and will be essential for all 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

    "The best available introduction to the direct method to be found in the literature, adding essential insight to what may be found elsewhere." - Bernard Deconinck, University of Washington

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

    1. Bilinearization of soliton equations
    2. Determinants and pfaffians
    3. Structure of soliton equations
    4. Bäcklund transformations

  • 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

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

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 Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

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.


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.