In the system of the Maxwell–Lorentz equations for an N-component charged medium in the intrinsic electromagnetic field, a solution of 4N equations of motion that significantly decreases the differential order of the system is obtained.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 17–21, October, 2010.
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Sukhanova, L.A., Khlestkov, Y.A. Solution of equations of motion of a relativistic multicomponent charged medium in the intrinsic electromagnetic field by the geometric method. Russ Phys J 53, 998–1004 (2011). https://doi.org/10.1007/s11182-011-9522-6
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DOI: https://doi.org/10.1007/s11182-011-9522-6