Compressive solitons in a moving e-p plasma under the effect of dust grains and an external magnetic field

A theoretical investigation concerning the propagation of compressive solitons in a plasma comprising electrons,positrons, and dust grains is presented by considering the dust grains of either positive charge or negative charge.Using reductive perturbation technique, a relevant Korteweg-deVries (KdV) equation is derived and then solved toobtain the expressions of amplitude and width of the solitons. The magnetic field is found to alter the dispersiveproperty of the plasma, and hence, only the width of the solitons is reduced in the presence of higher magnetic field.Soliton amplitude is found to decrease/increase and the width to increase/decrease for the higher densities ofnegatively/positively charged dust grains. Moreover, the amplitude of such a soliton remains larger in the case ofpositively charged dust grains in comparison with the negatively charged dust grains. The effect of electron/positrondrift velocities of the charged species is not pronounced on the properties of the compressive solitons. Under thelimiting cases, our calculations reduce to the calculations by other investigators. This substantiates the generality of thepresent analysis.

Keywords:

Electron-positron plasma , Dust grains , Drift velocity , Magnetic field