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Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory

Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory

Hardcover

Series: Cambridge Texts in Applied Mathematics, Book 30

General MathematicsGeometryPhysics

ISBN10: 052181331X
ISBN13: 9780521813310
Publisher: Cambridge University Press
Published: Jun 24 2002
Pages: 432
Weight: 1.55
Height: 1.00 Width: 6.10 Depth: 9.20
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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