THE EXACT SOLUTION OF CAUCHY PROBLEM FOR SMALL TRANSVERSE OSCILLATIONS IN ELECTRON NONRELATIVISTIC PLASMA
A. L Golubev, V. A. Terekliin, E. V. Uvarov
VANT. Ser.: Mat. Mod. Fiz. Proc 2007. Вып.3-4. С. 46-54.
The exact solution of Cauchy problem for small transverse oscillations in electron nonrelativistic plasma with step undisturbed electron distribution velocity function has been obtained. Given here are explicit time dependences of electric and magnetic field amplitudes for stable and unstable oscillations. The description of the smoothing method of step distribution is given, which does not result in significant change of dispersive properties of plasma. The derived solution can be used as a test for the procedures of numerical simulation of collisionless plasma behavior.
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