Analytical Solving a Nonlinear Model of the Glow Discharge

A nonlinear model has been introduced for the positive column of DC glow discharge in apure sealed, or low flow, gas media by including diffusion, recombination, attachment, detachment,process and having two-step ionization process metastable excited states, too. By thecombination system continuity equations system, using some physicalestimations, degrading resulted PDE polar rectangular systems coordinatethe steady-state ODE have derived. Using a series-based solution, an innovativenonlinear recursion relation proposed calculating sentence series. stateof elimination free charge on outer boundary vessel, universal equation ofthe characteristic energy electrons versus similarity variable, maximum degree ofionization as parameter,