Abstract
The Hasimoto-type theory of vortex filament motion is reviewed. By replacing the first-order law of motion (velocity given) with a second-order law (acceleration given), dynamics of e.g. flexible and rigid elastic strings is described in a similar manner. A system of nine coupled partial differential equations results, but on eliminating longitudinal motion, a smaller system is obtained. Classic vibration equations are recovered as special cases. The dynamic and static equations may be applied to problems concerning cables, textile fibres, molecules and other objects.

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