Backlund & Darboux Transformations

Description

Title: Backlund & Darboux Transformations
Description:
Pages: 416

Description
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, Bcklund,

and Eisenhart on transformations of privileged classes of surfaces which leave key geometric

properties unchanged. Prominent amongst these are Bcklund-Darboux transformations with their

remarkable associated nonlinear superposition principles and importance in soliton theory.

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