Structure of magnetic field lines
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Date
2012
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Volume Title
Publisher
Elsevier Science Bv
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Abstract
In this paper the Hamiltonian structure of magnetic lines is studied in many ways. First it is used vector analysis for defining the Poisson bracket and Casimir variable for this system. Second it is derived Pfaffian equations for magnetic field lines. Third, Lie derivative and derivative of Poisson bracket is used to show structure of this system. Finally, it is shown Nambu structure of the magnetic field lines. (C) 2011 Elsevier B.V. All rights reserved.
Description
Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; , Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163
Keywords
Integrable Systems, Non-Integrable Systems, Forms, Lie Derivative, Exterior Derivative, Magnetic Surfaces, Nambu Mechanics
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Citation
Golmankhaneh, A.K...et al. (2012). Structure of magnetic field lines. Communications In Nonlinear Science And Numerical Simulation, 17(2), 713-720. http://dx.doi.org/ 10.1016/j.cnsns.2011.03.042
WoS Q
Q1
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Q1
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Volume
17
Issue
2
Start Page
713
End Page
720