Simple model of the gaseous plasma and its soliton solutions

Solitons can play an important role in a gaseous plasma between two electrodes with the related problem of high speed switching in gases and in solid state devices. In this paper a simple model of a one dimensional solid interacting with a short electromagnetic pulse is formulated and solved in the slowly varying envelope approximation. A model is proposed of a system of two-level quantum oscillators interacting through nearest-neighbor coupling and coupled to an electro-magnetic field. In the continuous limit and in the slowly varying envelope approximation the system supports propagation of space solitons.