Golmankhaneh, Ali KhaliliBaleanu, DumitruGolmankhaneh, Alireza KhaliliJazayeri, Seyed MasudBaleanu, DumitruMatematik2017-02-212017-02-212012Golmankhaneh, 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.2011.03.0421007-5704https://doi.org/10.1016/j.cnsns.2011.03.042Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; , Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163In 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.eninfo:eu-repo/semantics/closedAccessIntegrable SystemsNon-Integrable SystemsFormsLie DerivativeExterior DerivativeMagnetic SurfacesNambu MechanicsArticle17271372010.1016/j.cnsns.2011.03.0422-s2.0-80052388635WOS:000295995400026Q1Q1