Effects Of The External Magnetic Field And Temperature On The Solitary Waves In EP Plasma

The plasma is composed of electrons, ions and neutral particles, that are out of the bound. The plasma is quasi neutral and has collective behavior. In recent years, the nonlinear phenomena generated by laser-plasma interaction become the hot topic, for example, electromagnetic solitary wave has been widely concerned. Study of solitary waves which produced from the laser-plasma interaction not only has important theoretical signi?cance, but also in the research in particle accelerators, photon accelerator and laser nuclear fusion fast ignition scheme has great application value.In this paper, at ?rst we start from the well-known Maxwell’s equations and the hydrodynamic equation, in the relativistic frame, to derive the coupling equation for the wake wave and the circularly polarized transversal electromagnetic wave in laser- plasma interaction. And, we use the PIC numerical method to solve the coupling equations of the laser ?eld and the potential of the plasma electrostatic ?eld, which can provide an exact solitary wave solution. We plot the ?gure of the solitary waves and analyze the external magnetic ?eld and temperature which effect the solitary wave’s amplitude. Before giving the exact numerical solutions, we made a detailed stable analysis for the ?xed point of the system and the parameter space for the existence of solitary waves. As a result, the external magnetic ?elds had no effect on the solitary wave amplitude of vector potential,however, the amplitude of electrostatic potential increases with the increase of external magnetic ?elds. And the amplitudes of vector potential and scalar potential both increase with the increase of temperature.