Generalization Of Hasimoto'S Transformation

In this paper, we generalize the famous Hasimoto's transformation by showing that the dynamics of a closed unidimensional vortex filament embedded in a three-dimensional manifold M of constant curvature, gives rise under Hasimoto's transformation to the nonlinear Schrodinger equation. We also give a natural interpretation of the function. introduced by Hasimoto in terms of moving frames associated to a natural complex bundle over the filament.


Published in:
International Journal Of Geometric Methods In Modern Physics, 6, 625-630
Year:
2009
Publisher:
World Scientific Publishing
ISSN:
0219-8878
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-01-28


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