New exact solutions of the equation of non-linear dynamics of a lattice of electronic vortices in plasma in the framework of electron magnetohydrodynamics

A. E. Dubinov^{1, 2} - I. N. Kitayev^{1, 2}

¹ Russian Federal Nuclear Center, All-Russian Scientific and Research Institute of Experimental Physics (RFNC--VNIIEF), 607188 Sarov, Russia
² Sarov Institute of Physics and Technology (SarFTI), National Research Nuclear University "MEPhI", 607188 Sarov, Russia

Abstract
Exact solutions of the Smirnov--Chukbar--Zaburdaev equation (ESCZ) have been obtained for the first time using the variable separation method. The solutions describe acoustic-type non-linear movements in a lattice of electronic vortices in plasmas. Figs 1, Refs 11.