Small amplitude soliton propagation in a weakly relativistic magnetized space plasma: electron inertia contribution

Soliton propagation in a weakly relativistic two-fluid space related plasma is studied under the effect of an external magnetic field, and the contribution of electron inertia to the soliton characteristics is evaluated. It is found that fast and slow modes are possible in such a plasma that correspond to the propagation of compressive solitons, namely fast compressive soliton and slow compressive soliton, respectively. These solitons occur for a particular range of angle θ between the directions of wave propagation and the magnetic field, given by θ≤tan^-1|{u_z0-v_z0+√(1+2σ)m_i/m_e}/(v_x0-u_x0)$0 B. This range of the wave propagation angle depends on the temperature ratio σ(=T_i/T_e), mass ratio m_i/m_e, and x and z components u_x0 and u_z0 and v_x0 and v_z0 of the ion and electron velocities, respectively. Further, the dominance of the components of ion and electron velocities on the soliton characteristics via peak soliton amplitude, soliton width and soliton energy together with the effect of electron inertia is examined. It is also realized that both types of the solitons attain the same height, width, and energy when the electron inertia is neglected, and the effect of electron inertia is more pronounced on the propagation of the slow compressive solitons.