Ultra- Relativistic Solitons with Opposing Behaviors in Photon Gas Plasma

We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytically. Solutions with single-humped for the scalarpotential and single and double-humped for the vector potential profiles are illustratednumerically. It is shown that the drifting velocity of moving solitons and plasma fluidvelocity both play an important role in the formation of the solutions. The results showthat the amplitude of the potentials increases for higher values of the plasmatemperatures for the region that the flow velocity of the plasma is larger than the solitarywave velocity. For the region with larger amount of the soliton's velocity, the resultsshow opposite behavior. It is also found that in the region where the plasma fluidvelocity exceeds the soliton drifting velocity, all the solutions are excited at highertemperatures relative to the other area.