Backlund and Darboux Transformations
Editorial Reviews
Review
'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
Book 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, 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.
Backlund and Darboux Transformations
Backlund and Darboux Transformations,C. Rogers,W. K. Schief,M. J. Ablowitz,S. H. Davis,E. J. Hinch,A. Iserles,J. Ockendon,P. J. Olver,Cambridge University Press,0521012880,Applied,Backlund transformations,Bčacklund transformations,Darboux transformations,Geometry - General,Mathematics,Science,Science/Mathematics,Solitons,Waves & Wave Mechanics,Applied mathematics,Differential & Riemannian geometry,Science / Mathematical Physics
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