The one-dimensional dynamics of trapped relativistic electromagnetic radiation, which appears during laser plasma interaction, is investigated within a relativistic fluid-Maxwell model. The modifications of plasma density due to trapped laser fields are considered for linear as well as circular polarizations. It is shown that standing (V=0) solitons are stable on the electron time scale. However, the stability region does not agree with the prediction from the Vakhitov-Kolokolov criterion. Ions always drive the standing solitons unstable, irrespective of the polarization. The stability of moving (0<V<c) solitons, which have been obtained in the literature as stationary solutions of the fluid-Maxwell equations including ion dynamics, is demonstrated. The problem of soliton generation is addressed. The time evolution of the so called post-solitons, which are generated behind a broad laser pulse propagating in underdense plasma, is analyzed. The effect of finite electron and ion temperatures is briefly discussed.

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