Backlund and Darboux Transformations

Name: Backlund and Darboux Transformations
Brand: Cambridge University Press
SKU: 9780521012881
Price: 398.03 RON
Availability: InStock

Geometry and Modern Applications in Soliton Theory

Autor: C. RogersW. K. Schief

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Editura: Cambridge University Press

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

Informații despre carte

Autor

C. RogersW. K. Schief

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2002

Pagini

432

EAN

9780521012881

ISBN

0521012880

Enbook ID

02017638

Editura

Cambridge University Press

Greutate

596

Dimensiuni

153 x 228 x 23

Descriere completă

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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Descriere completă

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