Backlund and Darboux Transformations

Name: Backlund and Darboux Transformations
Brand: Cambridge University Press
SKU: 9780521813310
Price: 191.47 EUR
Availability: InStock

Geometry and Modern Applications in Soliton Theory

Автор: C. RogersW. K. Schief

Език:

Корици: С твърди корици

Издател: Cambridge University Press

Наличност: Външен склад

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191.47 € 374.48 лв

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

Информация за книгата

Автор

C. RogersW. K. Schief

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2002

страници

432

EAN

9780521813310

ISBN

052181331X

Enbook ID

02044657

Издател

Cambridge University Press

Теглоt

712

Размери

152 x 229 x 29

Пълно описание

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

Информация за книгата

Пълно описание

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