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Home > Language Arts & Disciplines > Language Arts & Disciplines > The Direct Method in Soliton Theory-eBook

The Direct Method in Soliton Theory

Hirota, Ryogo

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The Direct Method in Soliton Theory

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 heavy machinery of the inverse scattering transform and was successfully used to construct the multisoliton solutions of many new equations. In the 1980s the deeper significance of the tools used in this method - Hirota derivatives and the bilinear form - came to be understood as a key ingredient in Sato's theory and the connections with affine Lie algebras. The main part of this book concerns the more modern version of the method in which solutions are expressed in the form of determinants and pfaffians. While maintaining the original philosophy of using relatively simple mathematics, it has, nevertheless, been influenced by the deeper understanding that came out of the work of the Kyoto school. The book will be essential for all those working in soliton theory.

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Title of ebook: The Direct Method in Soliton Theory
ISBN: 9780511207686
Publisher: Cambridge University Press
Internet download file size: 1612 kb
Pages: 212
Released online for download: 07-22-2004
Author of eBook: Hirota, Ryogo
Editor: Nagai, Atsushi
Editor: Nimmo, Jon