Download Book Title : Baecklund and Darboux transformations
(Format : djvu , Language : English)
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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Author(s) Book :C. Rogers, W. K. Schief
Publish Year :2002 Publisher : Cambridge University Press
You can check by ISBN10/ISBN13 : 0521012880/9780521012881
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