Title

Motion of a vortex filament in the local induction approximation: Reformulation of the Da Rios-Betchov equations in the extrinsic filament coordinate space

Authors

Authors

B. K. Shivamoggi;G. J. F. van Heijst

Comments

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Abbreviated Journal Title

Phys. Lett. A

Keywords

WAVES; Physics, Multidisciplinary

Abstract

In recognition of the highly non-trivial task of computation of the inverse Hasimoto transformation mapping the intrinsic geometric parameter space onto the extrinsic vortex filament coordinate space a reformulation of the Da Rios-Betchov equations in the latter space is given. The nonlinear localized vortex filament structure solution given by the present formulation is in detailed agreement with the Betchov-Hasimoto solution in the small-amplitude limit and is also in qualitative agreement with laboratory experiment observations of helical-twist solitary waves propagating on concentrated vortices in rotating fluids. The present formulation also provides for a discernible effect of the slipping motion of a vortex filament on the vortex evolution. (C) 2010 Elsevier B.V. All rights reserved.

Journal Title

Physics Letters A

Volume

374

Issue/Number

15-16

Publication Date

1-1-2010

Document Type

Article

Language

English

First Page

1742

Last Page

1744

WOS Identifier

WOS:000276659900026

ISSN

0375-9601

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