Backlund and Darboux Transformations by C Rogers

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Summary

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.

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Backlund and Darboux Transformations by C Rogers

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, B cklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are B cklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.
'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
SKU Unavailable
ISBN 13 9780521813310
ISBN 10 052181331X
Title Backlund and Darboux Transformations
Author C Rogers
Series Cambridge Texts In Applied Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Cambridge University Press
Year published 2002-06-24
Number of pages 432
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.