The Hasimoto transformation and integrable flows on curves
作者： Joel Langer , Ron Perline
DOI: 10.1016/0893-9659(90)90015-4
关键词:
摘要: Abstract A simple formula for the differential of Hasimoto transformation (relating vortex filament flow to cubic Schrodinger equation) is presented.
harvard.edu
elsevier.com
sci-hub.se 参考文章(5)
Joel Langer, David A. Singer, The total squared curvature of closed curves Journal of Differential Geometry. ,vol. 20, pp. 1- 22 ,(1984) , 10.4310/JDG/1214438990
Hidenori Hasimoto, Motion of a Vortex Filament and its Relation to Elastica Journal of the Physical Society of Japan. ,vol. 31, pp. 293- 294 ,(1971) , 10.1143/JPSJ.31.293
Joel Langer, David A. Singer, Knotted Elastic Curves in R
3 Journal of the London Mathematical Society. ,vol. s2-30, pp. 512- 520 ,(1984) , 10.1112/JLMS/S2-30.3.512
Hidenori Hasimoto, A soliton on a vortex filament Journal of Fluid Mechanics. ,vol. 51, pp. 477- 485 ,(1972) , 10.1017/S0022112072002307
George Keith Batchelor, An Introduction to Fluid Dynamics ,(1967)