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A numerical fluid simulation investigation of the temporal evolution of aspecial class of traveling wave solution of the one dimensional relativisticcold plasma model is reported.The solutions consist of coupled electromagneticand plasma waves in a solitary pulse shape (Phys. Rev. Lett. 68, 3172(1992);Phys. Plasmas 9, 1820(2002)).Issues pertaining to their stability, mutualcollisional interactions and propagation in an inhomogeneous plasma medium areaddressed. It is found that solitary pulses that consist of a single light peaktrapped in a modulated density structure are long lived whereas structures withmultiple peaks of trapped light develop an instability at the trailing edge.The interaction properties of two single peak structures show interestingdependencies on their relative amplitudes and propagation speeds and can beunderstood in terms of their propagation characteristics in an inhomogeneousplasma medium

Fluid simulation studies of the dynamical behavior of one-dimensional relativistic electromagnetic solitons