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Current sheet oscillations in the magnetic filament approach

Semenov, V. S.; Erkaev, N. V.; Biernat, H. K.

Magnetic filament approach is applied for modeling of nonlinear "kink"-like flapping oscillations of thin magnetic flux tubes in the Earth's magnetotail current sheet. A discrete approximation for the magnetic flux tube was derived on a basis of the Hamiltonian formulation of the problem. The obtained system of ordinary differential equations was …