Backlund and Darboux Transformations

Name: Backlund and Darboux Transformations
Brand: Cambridge University Press
SKU: 9780521813310
Price: 182.33 EUR
Availability: InStock

Geometry and Modern Applications in Soliton Theory

Autor: C. RogersW. K. Schief

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-18 dní

182.33 €

This book describes the remarkable connections that exist between the classical differential geometr...

Informácie o knihe

Autor

C. RogersW. K. Schief

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2002

Stránok

432

EAN

9780521813310

ISBN

052181331X

Enbook ID

02044657

Vydavateľ

Cambridge University Press

Hmotnosť

712

Rozmery

152 x 229 x 29

Kompletný popis

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. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text is concerned. In this geometric context, solitonic equations arise out of the Gauß-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Bäcklund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics.

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Backlund and Darboux Transformations

Geometry and Modern Applications in Soliton Theory

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