Articles liés à The Direct Method in Soliton Theory

The Direct Method in Soliton Theory - Couverture rigide

Livre 11 sur 46: Cambridge Tracts in Mathematics

Hirota, Ryogo

 
9780521836609: The Direct Method in Soliton Theory
Couverture rigide
ISBN 10 : 0521836603 ISBN 13 : 9780521836609
Editeur : Cambridge University Press, 2004

Synopsis

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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À propos de l'auteur

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Éditeur
Cambridge University Press
Date d'édition
2004
Langue
anglais
ISBN 10 
0521836603
ISBN 13 
9780521836609
Reliure
Relié
Nombre de pages
214
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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