Effect of Landau damping on alternative ion-acoustic solitary waves in a magnetized plasma consisting of warm adiabatic ions and non-thermal electrons

TL;DR

This paper investigates the effect of Landau damping on the evolution of alternative ion-acoustic solitary waves in a magnetized plasma with warm adiabatic ions and non-thermal electrons, especially near the critical nonlinear coefficient.

Contribution

It derives a new evolution equation considering Landau damping when the nonlinear coefficient is near zero, extending previous models.

Findings

Solitary wave amplitude decays slowly over time.

Derived a modified evolution equation including Landau damping.

Analyzed the behavior near the critical nonlinear coefficient.

Abstract

Bandyopadhyay and Das [Phys. Plasmas, 9, 465-473, 2002] have derived a nonlinear macroscopic evolution equation for ion acoustic wave in a magnetized plasma consisting of warm adiabatic ions and non-thermal electrons including the effect of Landau damping. In that paper they have also derived the corresponding nonlinear evolution equation when coefficient of the nonlinear term of the above mentioned macroscopic evolution equation vanishes, the nonlinear behaviour of the ion acoustic wave is described by a modified macroscopic evolution equation. But they have not considered the case when the coefficient is very near to zero. This is the case we consider in this paper and we derive the corresponding evolution equation including the effect of Landau damping. Finally, a solitary wave solution of this macroscopic evolution is obtained, whose amplitude is found to decay slowly with time.