ENGLISH

Backlund & Darboux Transformations

By C. Rogers W. K. Schief

Book information

Publisher
Cambridge University Press
Year
2002
ISBN
052181331X, 9780521813310, 9780511020544
Language
english
Format
DJVU
Filesize
17 MB (17405644 bytes)
Edition
1
Pages
432\424
Time added
2012-03-17 06:00:00
Математика;Топология;Дифференциальная геометрия и

Description

This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Bäcklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Bäcklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.

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