MHD dynamo generation via Riemannian soliton theory

L. C. Garcia de Andrade

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MHD dynamo generation via Riemannian soliton theory

L. C. Garcia de Andrade

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Abstract

Heisenberg spin equation equivalence to nonlinear Schrödinger equation recently demonstrated by Rogers and Schief, is applied to the investigation of vortex filaments in magnetohydrodynamics (MHD) dynamos. The use of Gauss-Mainard-Codazzi equations allows us to investigate in detail the influence of curvature and torsion of vortex filaments in the MHD dynamos. This application follows closely previous applications to Heisenberg spin equation to the investigations in magnetohydrostatics given by Schief (Plasma Physics J.-2003).

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L. C. Garcia de Andrade. 2005-10-07. MHD dynamo generation via Riemannian soliton theory. https://arxiv.org/abs/physics/0510057

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