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

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, B cklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are B cklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.

Author: C. Rogers, W. K. Schief
Publisher: Cambridge University Press
Published: 06/24/2002
Pages: 432
Binding Type: Paperback
Weight: 1.30lbs
Size: 8.84h x 6.44w x 0.88d
ISBN: 9780521012881

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