Particular solution of self-consistent-field equations of charged liquid

The system of Maxwell equations and Euler equations describing the interaction of a charged liquid with its intrinsic electromagnetic field reduces to nonlinear equations of a vector field. A class of accurate particular solutions is obtained for equations of motion in which, for media with a constant invariant density, the field equations transform to equations of Prock type.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 55–58, June, 1978.It remains to thank Yu. S. Vladimirov, V. N. Mel'nikov, N. V. Mitskevich, and S. I. Syrovatskii for discussions of the problem and for useful remarks, and also I. K. Fetisov for supporting the work.