The Direct Method in Soliton Theory

ISBN-13: 9780521836609 / Angielski / Twarda / 2004 / 214 str.

Ryogo Hirota; Atsushi Nagai; Jon Nimmo

Opis

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.

Recenzje

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

Spis treści

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