Existence of dust ion acoustic solitary wave and double layer solution at M = Mc

Details Existence of dust ion acoustic solitary wave and double layer solution at M = Mc Existence of dust ion acoustic solitary wave and double layer solution at M = Mc

2011-10-24

arxiv.org/abs/1110.5307v1

Physics

Plasma Physics

26 pages 10 figures, communicated

Scientific paper

The Sagdeev potential technique has been considered to find the necessary condition for the existence as well as the polarity of dust ion acoustic solitary structures at M = Mc, in an unmagnetized nonthermal plasma consisting of negatively charged dust grains, adiabatic positive ions and nonthermal electrons, where Mc is the smallest possible value of the Mach number M. Depending on the analytical theory, a compositional parameter space showing the nature of existence of solitary structures at M=Mc has been presented. The compositional parameter space clearly indicates the upper bounds of the nonthermal parameter (beta_1) for the existence of negative and positive potential solitons at M = Mc. The compositional parameter space also shows that the present system does not support the coexistence of both negative and positive solitons at M = Mc. A critical value of the nonthermal parameter (beta_1=beta_c), which acts as sink of negative solitons and the source of positive solitons at M = Mc, has been found. However, no solitary wave is possible at beta_1=beta_c. The compositional parameter space again shows that there exists one and only one beta_1c of beta_1 such that one can get negative potential double layer at M = Mc for each mu lying within the interval mu_r =< mu <1, where mu is the ratio of unperturbed number density of nonthermal electrons to that of ions. From the compositional parameter space, it has been observed that the negative potential solitons at M = Mc are separated by the curve beta_1=beta_1c. A finite jump between amplitudes of negative potential solitons separated by the curve beta_1=beta_1 has been observed. The effect of the parameters on the amplitude of the solitary structures have been discussed.

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