Weakly relativistic solitons in a magnetized ion-beam plasma in presence of electron inertia

The relativistic compressive solitons of fast ion-acoustic mode are established in this magnetized plasma for the introduction of relativistic beam when Q' (=m(b)/m(i))>1 or <1 subject to v(s xi 0)-v(b xi 0) =U-d sin theta (v(s xi 0)=ion initial streaming, v(b xi 0)=beam initial streaming, and U-d is the beam drift perpendicular to the direction of magnetic field). The lighter concentration of beam ions (Q'<1) in the plasma admits slower variation in amplitudes after some critical N-b (=beam density) for all sigma(nu)(cos theta). Further, it is shown that under smaller relativistic effect (v(b xi 0/c)=0.10 and v(s xi 0)/c=0.10) for small concentration of beam ions (Q'<1) in the plasma, the growth of soliton amplitude becomes smaller with the increase of Nb. But to the contrary, for heavier concentration of beam ions Q'(>1), the amplitudes of solitons decay considerably with Q' growing sharply to a maximum in the vicinity of Q' approximate to 1. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3536428]