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Bäcklund and Darboux Transformations on Hardback by C. Rogers
Bäcklund and Darboux Transformations on Hardback by C. Rogers
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Bäcklund and Darboux Transformations

Geometry and Modern Applications in Soliton Theory
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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, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Backlund-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 Gaus-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Backlund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics.
Release date NZ
June 24th, 2002
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 2 Halftones, unspecified; 46 Line drawings, unspecified
Pages
432
Dimensions
152x229x29
ISBN-13
9780521813310
Product ID
2161696

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Bäcklund and Darboux Transformations by C. Rogers
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