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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)
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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
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    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

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    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

    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

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