Bäcklund transformations and their applications
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Bäcklund transformations and their applications by C. Rogers

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Published by Academic Press in New York .
Written in English

Subjects:

  • Differential equations, Partial.,
  • Bäcklund transformations.,
  • Jet bundles (Mathematics),
  • Mathematical physics.

Book details:

Edition Notes

Includes bibliographical references and indexes.

StatementC. Rogers and W.F. Shadwick.
SeriesMathematics in science and engineering ;, v. 161
ContributionsShadwick, W. F., 1951-
Classifications
LC ClassificationsQA374 .R64 1982
The Physical Object
Paginationxiii, 334 p. :
Number of Pages334
ID Numbers
Open LibraryOL3782576M
ISBN 100125928505
LC Control Number81022783

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Backlund and Darboux Transformations: The Geometry of Solitons Aarms-Crm Workshop, A. A. Coley This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Bäcklund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The method of obtaining Backlund transformations proposed by Chern and Tenenblat fits completely the approach of obtaining Backlund transformations by prolonga- tion techniques. For Kdv, MKdV and sine-Gordon equations the only difference consists in the application of a non-linear representation of the prolongation algebra other than. Prominent amongst these are Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text.