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, Bä cklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Bä cklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.
| Autorius: | C. Rogers, W. K. Schief, |
| Leidėjas: | Cambridge University Press |
| Išleidimo metai: | 2014 |
| Knygos puslapių skaičius: | 432 |
| ISBN-10: | 052181331X |
| ISBN-13: | 9780521813310 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Wave mechanics (vibration and acoustics) |
Parašykite atsiliepimą apie „Backlund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory“
