(1) Leibniz-Institute of Atmospheric Physics at the University of Rostock, 18225 Kühlungsborn, Germany, DE;(2) Institute of Applied Physics, Russian Academy of Sciences, 603600 Nizhny Novgorod, Russia, RU
Abstract:
Stable auto-solitary solutions were found on the basis of three-dimensional numerical simulations within the simplest model
under global constraint. The model involves a diffusion equation with a nonlinear source term containing both local and non-local
nonlinearity. The source term was chosen so as to describe qualitatively the most fundamental peculiarities of discharge physics,
namely local nonlinear increase in heating and ionization rate and non-local attenuation of electric field strength with plasma
density growth. The properties of the autosolitons created by the model have been investigated employing the different parameters
as control parameter. Therefore the results of calculations can be used to construct a process of plasma contraction in gas
discharge.
Received 26 July 1999 and Received in final form 5 February 2000