Backlund and Darboux Transformations

Name: Backlund and Darboux Transformations
Brand: Cambridge University Press
SKU: 9780521012881
Price: 1747 CZK
Availability: InStock

Geometry and Modern Applications in Soliton Theory

Autor: C. RogersW. K. Schief

Jazyk:

Vazba: Brožovaná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

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1 747 Kč

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

Informace o knize

Autor

C. RogersW. K. Schief

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2002

Stránek

432

EAN

9780521012881

ISBN

0521012880

Enbook ID

02017638

Vydavatel

Cambridge University Press

Hmotnost

596

Rozměry

153 x 228 x 23

Kompletní 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

Informace o knize

Kompletní popis

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