Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory
C. Rogers, W. K. Schief
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.
种类:
年:
2002
出版:
1
出版社:
Cambridge University Press
语言:
english
页:
432
ISBN 10:
052181331X
ISBN 13:
9780521813310
系列:
Cambridge Texts in Applied Mathematics
文件:
PDF, 6.80 MB
IPFS:
,
english, 2002