Weakly Relativistic Ion-Acoustic Solitary Waves in Dusty Plasma

The streaming speeds of relativistic electrons (v
_e0
) and ions (v
_i0
) together with the negative dust charge Z
_d
of immobile dust particles are observed to play characteristic role in the formation of dust ion-acoustic (DIA) compressive and rarefactive relativistic solitons in this plasma model. The critical value of the electron streaming (v
_e0
)crit in the process of generating solitary waves in this relativistic dusty plasma is shown to lie in the vicinity of the point/points, where v
_e0
≈ v
_i0
. Further, the existence of compressive (rarefactive) solitons of much higher amplitudes is reflected in the immediate left (right) of this critical value (v
_e0
)
_crit
within a short span of interval. Otherwise, the interval of existence of high-amplitude DIA compressive and rarefactive relativistic solitons is found to coincide with the assigned parametric domain of ion's initial streaming (v
_i0
) within the vicinity of electron's (v
_e0
's) critical values. Moreover, the existence of critical range of v
_i0
in a much lower domain suggests that the role of the massive ions in the presence of dust particles in the plasma is found predominant. A definite existence interval of v
_i0
can be predicted for the generation of only DIA compressive relativistic solitons corresponding to every negligible value of v
_e0
and large Z
_d
in this model of dusty plasma. The high impact from the massive increase of negative charges Z
_d
causes the extinction of compressive solitons at some upper limit of v
_io
to earmark the interval of existence corresponding to each Z
_d
.