Characteristics of solitary waves in a relativistic degenerate ion beam driven magneto plasma

TL;DR

This paper investigates the nonlinear propagation of small amplitude ion acoustic solitary waves in relativistic degenerate magneto plasma with ion beams, deriving a Zakharov-Kuznetsov equation and analyzing how physical parameters influence wave characteristics.

Contribution

It derives a new Zakharov-Kuznetsov equation for relativistic degenerate magneto plasma with ion beams and analyzes the effects of various parameters on solitary wave propagation.

Findings

Ion beams significantly influence solitary wave propagation.

Both subsonic and supersonic waves can exist with different characteristics.

Magnetic field and ion beam velocity control wave amplitude and width.

Abstract

The nonlinear propagation of small amplitude ion acoustic solitary wave in relativistic degenerate magneto plasma in presence of ion beam is investigated in detail. The nonlinear equations describing the evolution of solitary wave in presence of relativistic non-degenerate magnetized positive ions and ion beams including magnetized degenerate relativistic electrons are derived in terms of Zakharov-Kuznetsov (Z-K) equation for such plasma systems. The ion beams which are ubiquitous ingredient in such plasma systems, are found to have a decisive role in the propagation of solitary wave in such highly dense plasma system. The conditions of wave, propagating with typical solitonic characteristics are examined and discussed in detail under suitable conditions of different physical parameter. Both subsonic and supersonic wave can propagate in such plasmas bearing different characteristics under different physical situations. A detailed analysis of waves propagating in subsonic and/or supersonic regime is carried out. The ion beam concentrations, magnetic field as well as ion beam streaming velocity is found to play a momentous role on the control of the amplitude and width of small amplitude perturbation both in weakly(or non-relativistic) and relativistic plasmas.