The modulation instability and soliton propagation in relativistic plasma in a strong magnetic field

Abstract EN

The objective of the current study is to investigate the modulation instability of one-dimensional Langmuir waves that are greater than or equal to velocity of light in the relativistic plasma located in a strong magnetic field.

By using the relativistic Vlasov equation and Maxwell's equations, nonlinear Schrodinger equation has been inferred taking into account the nonlinear Landau damping.

The results of the current study confirmed that in this plasma equilibrium soliton propagates when the phase velocity ranges are sufficiently close to the velocity of light.

In the current study, several assymbtotic mathematical methods are used.