Ion-Acoustic Solitons in Magnetized Plasma Under Weak Relativistic Effects on the Electrons
Citation
Madhukalya, B., Das, R., Hosseini, K., Baleanu, D., & Salahshour, S. (2023). Ion-Acoustic Solitons in Magnetized Plasma Under Weak Relativistic Effects on the Electrons. International Journal of Applied and Computational Mathematics, 9(5), 102.Abstract
Investigating ion-acoustic disturbances in a magnetized plasma, consisting of relativistic electrons and non-thermal ions, entails a comprehensive study into the nonlinear wave structure. By condensing the fundamental set of fluid equations for the flow variables, a singular equation known as the Sagdeev potential equation is derived using the pseudopotential approach. In this investigation of the magnetized relativistic plasma, we have observed only dip (rarefactive) (N< 1) soliton under both subsonic (M< 1) and supersonic (M> 1) conditions. The occurrence of the soliton depends on the wave velocities in different propagation directions. The magnitude of amplitudes of the relativistic solitons is higher for higher Mach number (M> 1) irrespective of the wave’s propagation direction. Furthermore, the magnitude of amplitudes of the solitary wave is seen to increase near the direction of the magnetic field.