Integrable stationary solution for the fully nonlinear local induction equation describing the motion of a vortex filament |
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| Authors: | Robert A Van Gorder |
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| Institution: | 1. Department of Mathematics, University of Central Florida, Orlando, FL, 32816-1364, USA
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| Abstract: | In this brief communication, we demonstrate an implicit exact stationary solution to the fully nonlinear local induction equation describing the motion of a vortex filament. The solution, which is periodic in the spatial variable, is governed by a second-order nonlinear equation that has two exact first integrals. |
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