| Sumario: | Stationary solutions are found for the non-neutral two fluid plasma model in the absence of magnetic field. Using a perturbation method, the solutions are analyzed in the neighbourhood of the singular points in the general electrostatic case with pi=0. The existence and uniqueness of a solitary wave is then shown for the more restricted, quasi-neutral model with y=2. Ranges of validity are given for this case. A result of this study is that no shock can exist within the restricted hypothesis of the quasi-neutral model. Finally, physical examples are given for some typical plasma cases. The dimension of the solitary wave is of the order of the Debye length.
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