The Direct Method in Soliton Theory

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August 2004



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.


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


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'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
EAN: 9780521836609
ISBN: 0521836603
Untertitel: 'Cambridge Tracts in Mathematic'. Sprache: Englisch.
Erscheinungsdatum: August 2004
Seitenanzahl: 200 Seiten
Übersetzer/Sprecher: Übersetzt von Atsushi Nagai, Jon Nimmo
Format: gebunden
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