Download ebook: Backlund & Darboux Transformations
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Backlund & Darboux Transformations. C. Rogers, W. K. Schief
Download Backlund & Darboux Transformations
Backlund & Darboux Transformations C. Rogers, W. K. Schief ebook pdf
Publisher: Cambridge University Press
Language: English
Page: 432
ISBN: 052181331X,
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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