| Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory Contributor(s): Rogers, C. (Author), Schief, W. K. (Author), Ablowitz, M. J. (Editor) |
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ISBN: 052181331X ISBN-13: 9780521813310 Publisher: Cambridge University Press OUR PRICE: $176.70 Product Type: Hardcover - Other Formats Published: June 2002 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Science | Waves & Wave Mechanics - Mathematics | Geometry - General - Mathematics | Applied |
| Dewey: 530.124 |
| LCCN: 2001043453 |
| Series: Cambridge Texts in Applied Mathematics |
| Physical Information: 1" H x 6.1" W x 9.2" (1.55 lbs) 432 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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, 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. |