The Hasimoto transformation and integrable flows on curves
โ Scribed by Joel Langer; Ron Perline
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 277 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0893-9659
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๐ SIMILAR VOLUMES
equations which are considered in the r-matrix approach [STS1] (the Hamiltonians are not given by central functions). However, according to recent progress in [L2] discerning the relation between the Sklyanin bracket and a so-called twisted structure (which arose in the author's earlier work [LP]),
Based on classical but apparently little known results due to Razzaboni, the integrable nature of Bertrand curves and their geodesic embedding in surfaces is discussed in the context of modern soliton theory. The existence of parallel Razzaboni surfaces which constitute the surface analogues of the