This article is cited in 6 papers

A New Type of Stretched Solutions Excited by Initially Stretched Vortex Filaments for the Local Induction Equation

K. Konno^a, K. Kakuhata<sup>b

a</sup> Nihon University
^b Toyama University

Abstract: We solve the initial value problem of the stretched vortex filament with the local induction equation and obtain a new type of stretched solution analytically, a solution that was suggested numerically.

Keywords: local induction equation, vortex filament, stretched filament.

DOI: 10.4213/tmf1861

 English version: Theoretical and Mathematical Physics, 2005, 144:2, 1181–1189

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