Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory: 30 (Cambridge Texts in Applied Mathematics, Series Number 30) - Image 1

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Cambridge University Press Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory: 30 (Cambridge Texts in Applied Mathematics, Series Number 30)

Name: Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory: 30 (Cambridge Texts in Applied Mathematics, Series Number 30)
Brand: Cambridge University Press
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Geometry & Topology

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521012880
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 11 July 2002
Listed Since: 04 January 2007

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Cambridge University Press Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory: 30 (Cambridge Texts in Applied Mathematics, Series Number 30)

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