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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Geometry

• Celý názov: Backlund and Darboux Transformations
• Podnázov: Geometry and Modern Applications in Soliton Theory
• Autor: C. RogersW. K. Schief
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 432
• EAN: 9780521813310
• ISBN: 052181331X
• ID: 02044657
• Nakladateľ: Cambridge University Press
• Hmotnosť: 712 g
• Rozmery: 229 × 152 × 29 mm
• Dátum vydania: 24. June 2002

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