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Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory - Cambridge Texts in Applied Mathematics (Paperback)
  • Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory - Cambridge Texts in Applied Mathematics (Paperback)
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Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory - Cambridge Texts in Applied Mathematics (Paperback)

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£44.99
Paperback 432 Pages / Published: 24/06/2002
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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.

Publisher: Cambridge University Press
ISBN: 9780521012881
Number of pages: 432
Weight: 596 g
Dimensions: 228 x 153 x 23 mm


MEDIA REVIEWS
'It is an excellent book for graduate students and young researchers ... very useful for scientists in this field.' Nieuw Archief voor Wiskunde
'The book certainly is a recommendable book for everyone who is interested in these transformations as well as in the related geometry and modern applications.' Bulletin of the Belgian Mathematical Society
"The book can serve as a very good introduction not only for students and young researchers but also for qualified scientists who would like to study nonlinear problems in connection with geometry of submanifolds. Work done in the last few years has proved that interactions between soliton theory and differential geometry are very profitable to both fields." Mathematical Reviews

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