, Volume 24, Issue 1-4, pp 383-387
Date: 02 Dec 2009

A locally induced homoclinic motion of a vortex filament

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Abstract

An exact homoclinic solution of the Da Rios–Betchov equation is derived using the Hirota bilinear equation. This solution describes unsteady motions of a linearly unstable helical or wound closed filament under the localized induction approximation.

Communicated by H. Aref