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Könyv Backlund and Darboux Transformations C. RogersW. K. Schief

Backlund and Darboux Transformations

Geometry and Modern Applications in Soliton Theory

Szerző: C. RogersW. K. Schief
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Cambridge University Press
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
29 216 Ft
This book describes the remarkable connections that exist between the classical differential geometr...

Információk a könyvről

Szerző
C. RogersW. K. Schief
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2002
oldal
432
EAN
9780521012881
ISBN
0521012880
Enbook ID
02017638
Kiadó
Cambridge University Press
Súly
596
Méretek
153 x 228 x 23

Teljes leírás

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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