Backlund and Darboux Transformations

- Geometry and Modern Applications in Soliton Theory (Series Number 30: Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton)

af

indgår i serie Cambridge Texts in Applied Mathematics


Backlund and Darboux Transformations
  • Leveringstid 2-3 uger
  • Forventet levering 13-12-2019
Format:
Bog, paperback
Udgivelsesdato:
24-06-2002
Sprog:
Engelsk
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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 Gauss-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.

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Bog, hardback

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Udgivelsesdato:
24-06-2002
ISBN13:
9780521012881
Vægt:
596 g
Dybde:
23 mm
Bredde:
153 mm
Højde:
228 mm
Nummer i serien:
30
Nummer i serien:
30
Format:
Paperback
  • Forfattere

  • Bibliotekernes beskrivelse

    This book explores the profound connections between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces. Punctuated with exercises, it is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics. Worked examples or Exercises; 2 Halftones, unspecified; 46 Line drawings, unspecified

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