Compressive and rarefactive solitons in a relativistic magnetized plasma with finite temperature ions

The propagation of K-dV solitons in a magnetized low-beta relativistic plasma having finite temperature ions has been studied on the basis of Korteweg-deVries equation. Two types of mode, namely a fast ion acoustic mode and a slow ion acoustic mode, exist in the plasma. The phase velocity of both types of mode increases with the ion drift velocity, but decreases with the wave propagation angle (i.e., angle between the wave vector and the magnetic field). The phase velocity of the fast mode goes up whereas that of slow mode goes down for higher ion temperatures. Fast mode corresponds to the propagation of compressive solitons whereas rarefactive solitons exist for the slow mode. It is observed that magnitude of the amplitudes of compressive and rarefactive solitons is same. Energy of these solitons is calculated in terms of the phase velocity of the solitons, angle of the wave propagation and strength of the magnetic field. Peak amplitude and energy of both types of soliton increase with propagation angle of the wave. The strength of magnetic field weakens the soliton energy, and the width becomes smaller. It is found that with the relativistic ion drift and ion temperature, the amplitude and energy of the solitons go down and the width gets wider.