The Direct Method in Soliton Theory

by Ryogo Hirota

Overview

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.

Product Details

ISBN-13:	9780521836609
Publisher:	Cambridge University Press
Publication date:	07/22/2004
Series:	Cambridge Tracts in Mathematics , #155
Edition description:	New Edition
Pages:	214
Product dimensions:	5.98(w) x 9.02(h) x 0.51(d)

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.

Editorial Reviews

"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

From the Publisher