Va. Skvortsov et Pv. Milyutin, NONLINEAR DYNAMICS OF SEMICRYSTALLINE BEAMS OF CHARGED-PARTICLES, Physica. B, Condensed matter, 228(1-2), 1996, pp. 177-179
The Boussinesq equation and the equation of Korteveg-de-Vries are obta
ined for a description of the nonlinear dynamics of semicrystalline be
am of charge particles (SBCP - the analog of Vigner's crystal) in cont
inuum approximation. An analysis of its soliton solutions is done. It
is established that the SBCP poses a positive dispersion. The equation
s obtained are generalized in the classical approximation in the case
of multiparticle Coulomb interaction.