ENGLISH

Baecklund and Darboux transformations

By C. Rogers , W. K. Schief

Book information

Publisher
Cambridge University Press
Year
2002
ISBN
9780521012881, 0521012880
Open Library ID
OL17049417M
Language
english
Format
DJVU
Filesize
6 MB (6353109 bytes)
Edition
1
Pages
424\424
Topic
Physics
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

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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