Solitons in magnetized plasma with electron inertia under weakly relativistic effect

In this relativistic consideration, the energy integral unlike others has been derived in a weakly relativistic plasma in terms of Sagdeev potential. Both compressive and rarefactive subsonic solitary waves are found to exist, depending on wave speeds in various directions of propagation. It is found that compressive relativistic solitons have potential depths that are higher than non-relativistic solitons in all directions of propagation, allowing for the presence of denser plasma particles in the potential well. Furthermore, it shows how compressive soliton amplitude grows as the propagation direction gets closer to the magnetic field's direction.

Automated summary

In this study, the energy integral is derived using Sagdeev potential in a weakly relativistic plasma, leading to the discovery of compressive and rarefactive subsonic solitary waves in different propagation directions. It is found that compressive relativistic solitons have higher potential depths compared to non-relativistic solitons in all directions, allowing for denser plasma particles in the potential well. Furthermore, the study shows that the compressive soliton amplitude increases as the propagation direction gets closer to the magnetic field's direction.